402804864 has 384 divisors, whose sum is σ = 1527552000. Its totient is φ = 98703360.

The previous prime is 402804863. The next prime is 402804923. The reversal of 402804864 is 468408204.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (402804863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1685257 + ... + 1685495.

It is an arithmetic number, because the mean of its divisors is an integer number (3978000).

Almost surely, 2^402804864 is an apocalyptic number.

402804864 is a gapful number since it is divisible by the number (44) 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 402804864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763776000).

402804864 is an abundant number, since it is smaller than the sum of its proper divisors (1124747136).

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

402804864 is a wasteful number, since it uses less digits than its factorization.

402804864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 402804864 is about 20069.9991031390. Note that the first 3 decimals coincide. The cubic root of 402804864 is about 738.5244911076.

Adding to 402804864 its sum of digits (36), we get a square (402804900 = 20070²).

The spelling of 402804864 in words is "four hundred two million, eight hundred four thousand, eight hundred sixty-four".