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440242420 = 225414711423
BaseRepresentation
bin11010001111011…
…001000011110100
31010200101122001211
4122033121003310
51400200224140
6111403531204
713623666412
oct3217310364
91120348054
10440242420
11206561712
12103529b04
1370291597
144267c2b2
15289b22ea
hex1a3d90f4

440242420 has 48 divisors (see below), whose sum is σ = 967292928. Its totient is φ = 168131840.

The previous prime is 440242349. The next prime is 440242423. The reversal of 440242420 is 24242044.

It is a junction number, because it is equal to n+sod(n) for n = 440242391 and 440242400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440242423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32829 + ... + 44251.

It is an arithmetic number, because the mean of its divisors is an integer number (20151936).

Almost surely, 2440242420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483646464).

440242420 is an abundant number, since it is smaller than the sum of its proper divisors (527050508).

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

440242420 is a wasteful number, since it uses less digits than its factorization.

440242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11520 (or 11518 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 440242420 is about 20981.9546277271. The cubic root of 440242420 is about 760.7301501033.

Adding to 440242420 its reverse (24242044), we get a palindrome (464484464).

The spelling of 440242420 in words is "four hundred forty million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 47 82 94 164 188 205 235 410 470 820 940 1927 3854 7708 9635 11423 19270 22846 38540 45692 57115 114230 228460 468343 536881 936686 1073762 1873372 2147524 2341715 2684405 4683430 5368810 9366860 10737620 22012121 44024242 88048484 110060605 220121210 440242420