401624064 has 66 divisors (see below), whose sum is σ = 1159707380. Its totient is φ = 133871616.

The previous prime is 401624059. The next prime is 401624081. The reversal of 401624064 is 460426104.

It is a super-2 number, since 2×401624064² = 322603777567752192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12574 + ... + 31005.

Almost surely, 2^401624064 is an apocalyptic number.

It is an amenable number.

401624064 is an abundant number, since it is smaller than the sum of its proper divisors (758083316).

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

401624064 is a wasteful number, since it uses less digits than its factorization.

401624064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43605 (or 43584 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 401624064 is about 20040.5604712044. The cubic root of 401624064 is about 737.8021370107.

The spelling of 401624064 in words is "four hundred one million, six hundred twenty-four thousand, sixty-four".