400825664 has 14 divisors (see below), whose sum is σ = 795388554. Its totient is φ = 200412800.

The previous prime is 400825627. The next prime is 400825687. The reversal of 400825664 is 466528004.

It can be written as a sum of positive squares in only one way, i.e., 351937600 + 48888064 = 18760^2 + 6992^2 .

It is a super-2 number, since 2×400825664² = 321322425842081792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3131387 + ... + 3131514.

Almost surely, 2^400825664 is an apocalyptic number.

It is an amenable number.

400825664 is a deficient number, since it is larger than the sum of its proper divisors (394562890).

400825664 is an equidigital number, since it uses as much as digits as its factorization.

400825664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6262913 (or 6262903 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 400825664 is about 20020.6309590882. The cubic root of 400825664 is about 737.3129133412.

The spelling of 400825664 in words is "four hundred million, eight hundred twenty-five thousand, six hundred sixty-four".