402890880 has 256 divisors, whose sum is σ = 1516584960. Its totient is φ = 89026560.

The previous prime is 402890861. The next prime is 402890927. The reversal of 402890880 is 88098204.

It is a happy number.

It is a super-2 number, since 2×402890880² = 324642122374348800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416157 + ... + 417123.

It is an arithmetic number, because the mean of its divisors is an integer number (5924160).

Almost surely, 2^402890880 is an apocalyptic number.

402890880 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 402890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758292480).

402890880 is an abundant number, since it is smaller than the sum of its proper divisors (1113694080).

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

402890880 is a wasteful number, since it uses less digits than its factorization.

402890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 402890880 is about 20072.1418886974. The cubic root of 402890880 is about 738.5770561807.

The spelling of 402890880 in words is "four hundred two million, eight hundred ninety thousand, eight hundred eighty".