403874652160 has 896 divisors, whose sum is σ = 1273942080000. Its totient is φ = 122079412224.

The previous prime is 403874652149. The next prime is 403874652169. The reversal of 403874652160 is 61256478304.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×403874652160² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 403874652160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403874652169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4537917396 + ... + 4537917484.

Almost surely, 2^403874652160 is an apocalyptic number.

403874652160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403874652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636971040000).

403874652160 is an abundant number, since it is smaller than the sum of its proper divisors (870067427840).

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

403874652160 is an equidigital number, since it uses as much as digits as its factorization.

403874652160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 403874652160 in words is "four hundred three billion, eight hundred seventy-four million, six hundred fifty-two thousand, one hundred sixty".