402088064 has 64 divisors (see below), whose sum is σ = 918440640. Its totient is φ = 171764736.

The previous prime is 402088039. The next prime is 402088067. The reversal of 402088064 is 460880204.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×402088064² = 323349622422536192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 402088064.

It is not an unprimeable number, because it can be changed into a prime (402088067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396422 + ... + 397434.

It is an arithmetic number, because the mean of its divisors is an integer number (14350635).

Almost surely, 2^402088064 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 402088064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459220320).

402088064 is an abundant number, since it is smaller than the sum of its proper divisors (516352576).

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

402088064 is a wasteful number, since it uses less digits than its factorization.

402088064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 402088064 is about 20052.1336520581. The cubic root of 402088064 is about 738.0861575418.

The spelling of 402088064 in words is "four hundred two million, eighty-eight thousand, sixty-four".