401365872 has 60 divisors (see below), whose sum is σ = 1129225344. Its totient is φ = 133079040.

The previous prime is 401365843. The next prime is 401365891. The reversal of 401365872 is 278563104.

401365872 is a `hidden beast` number, since 40 + 1 + 36 + 587 + 2 = 666.

It is a super-2 number, since 2×401365872² = 322189126412640768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20208 + ... + 34800.

Almost surely, 2^401365872 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 401365872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564612672).

401365872 is an abundant number, since it is smaller than the sum of its proper divisors (727859472).

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

401365872 is a wasteful number, since it uses less digits than its factorization.

401365872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14798 (or 14789 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 401365872 is about 20034.1176995644. The cubic root of 401365872 is about 737.6439995366.

The spelling of 401365872 in words is "four hundred one million, three hundred sixty-five thousand, eight hundred seventy-two".