400308064 has 48 divisors (see below), whose sum is σ = 855525888. Its totient is φ = 183278592.

The previous prime is 400308043. The next prime is 400308091. The reversal of 400308064 is 460803004.

It is a super-2 number, since 2×400308064² = 320493092206856192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49044 + ... + 56620.

It is an arithmetic number, because the mean of its divisors is an integer number (17823456).

Almost surely, 2^400308064 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 400308064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427762944).

400308064 is an abundant number, since it is smaller than the sum of its proper divisors (455217824).

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

400308064 is a wasteful number, since it uses less digits than its factorization.

400308064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7727 (or 7719 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 400308064 is about 20007.7001177047. The cubic root of 400308064 is about 736.9954041028.

The spelling of 400308064 in words is "four hundred million, three hundred eight thousand, sixty-four".