400064064 has 56 divisors (see below), whose sum is σ = 1060569888. Its totient is φ = 133094400.

The previous prime is 400064059. The next prime is 400064089. The reversal of 400064064 is 460460004.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 113659 + ... + 117125.

It is an arithmetic number, because the mean of its divisors is an integer number (18938748).

Almost surely, 2^400064064 is an apocalyptic number.

It is an amenable number.

400064064 is an abundant number, since it is smaller than the sum of its proper divisors (660505824).

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

400064064 is a wasteful number, since it uses less digits than its factorization.

400064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 400064064 is about 20001.6015358771. The cubic root of 400064064 is about 736.8456332606.

The spelling of 400064064 in words is "four hundred million, sixty-four thousand, sixty-four".