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401146450 = 2521732371
BaseRepresentation
bin10111111010010…
…000001001010010
31000221211100110221
4113322100021102
51310143141300
6103445543254
712640455115
oct2772201122
91027740427
10401146450
111964892a1
12b2414b2a
1365153383
143b3c257c
152533d31a
hex17e90252

401146450 has 96 divisors (see below), whose sum is σ = 838874880. Its totient is φ = 142419200.

The previous prime is 401146439. The next prime is 401146451. The reversal of 401146450 is 54641104.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401146451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5649915 + ... + 5649985.

It is an arithmetic number, because the mean of its divisors is an integer number (8738280).

Almost surely, 2401146450 is an apocalyptic number.

401146450 is an abundant number, since it is smaller than the sum of its proper divisors (437728430).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401146450 is a wasteful number, since it uses less digits than its factorization.

401146450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 401146450 is about 20028.6407426964. The cubic root of 401146450 is about 737.5095546019.

Adding to 401146450 its reverse (54641104), we get a palindrome (455787554).

It can be divided in two parts, 40114 and 6450, that added together give a palindrome (46564).

The spelling of 401146450 in words is "four hundred one million, one hundred forty-six thousand, four hundred fifty".

Divisors: 1 2 5 10 17 23 25 34 46 50 71 85 115 142 170 230 289 355 391 425 575 578 710 782 850 1150 1207 1445 1633 1775 1955 2414 2890 3266 3550 3910 4913 6035 6647 7225 8165 9775 9826 12070 13294 14450 16330 19550 20519 24565 27761 30175 33235 40825 41038 49130 55522 60350 66470 81650 102595 112999 122825 138805 166175 205190 225998 245650 277610 332350 348823 471937 512975 564995 694025 697646 943874 1025950 1129990 1388050 1744115 2359685 2824975 3488230 4719370 5649950 8022929 8720575 11798425 16045858 17441150 23596850 40114645 80229290 200573225 401146450