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405401004 = 223315723909
BaseRepresentation
bin11000001010011…
…110110110101100
31001020211111122000
4120022132312230
51312240313004
6104121052300
713021565061
oct3012366654
91036744560
10405401004
11198924858
12b3927090
1365cb2a68
143bbacc68
15258cdc39
hex1829edac

405401004 has 48 divisors (see below), whose sum is σ = 1057778400. Its totient is φ = 134267328.

The previous prime is 405400997. The next prime is 405401011. The reversal of 405401004 is 400104504.

It is an interprime number because it is at equal distance from previous prime (405400997) and next prime (405401011).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5002 + ... + 28910.

It is an arithmetic number, because the mean of its divisors is an integer number (22037050).

Almost surely, 2405401004 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 405401004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528889200).

405401004 is an abundant number, since it is smaller than the sum of its proper divisors (652377396).

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

405401004 is a wasteful number, since it uses less digits than its factorization.

405401004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24079 (or 24071 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 405401004 is about 20134.5723570182. The cubic root of 405401004 is about 740.1077296288.

Adding to 405401004 its reverse (400104504), we get a palindrome (805505508).

The spelling of 405401004 in words is "four hundred five million, four hundred one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 157 314 471 628 942 1413 1884 2826 4239 5652 8478 16956 23909 47818 71727 95636 143454 215181 286908 430362 645543 860724 1291086 2582172 3753713 7507426 11261139 15014852 22522278 33783417 45044556 67566834 101350251 135133668 202700502 405401004