401664375 has 90 divisors (see below), whose sum is σ = 836850872. Its totient is φ = 181800000.

The previous prime is 401664349. The next prime is 401664401. The reversal of 401664375 is 573466104.

It is a happy number.

401664375 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 643 + 7 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (401664349) and next prime (401664401).

It is not a de Polignac number, because 401664375 - 2⁵ = 401664343 is a prime.

It is a super-2 number, since 2×401664375² = 322668540288281250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3976825 + ... + 3976925.

Almost surely, 2^401664375 is an apocalyptic number.

401664375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

401664375 is an abundant number, since it is smaller than the sum of its proper divisors (435186497).

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

401664375 is an equidigital number, since it uses as much as digits as its factorization.

401664375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 401664375 is about 20041.5661813143. The cubic root of 401664375 is about 737.8268205806.

The spelling of 401664375 in words is "four hundred one million, six hundred sixty-four thousand, three hundred seventy-five".