401332968 has 48 divisors (see below), whose sum is σ = 1127206080. Its totient is φ = 133777008.

The previous prime is 401332949. The next prime is 401332973. The reversal of 401332968 is 869233104.

It is a super-2 number, since 2×401332968² = 322136302407378048, which contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 101280 + ... + 105167.

It is an arithmetic number, because the mean of its divisors is an integer number (23483460).

Almost surely, 2^401332968 is an apocalyptic number.

It is an amenable number.

401332968 is an abundant number, since it is smaller than the sum of its proper divisors (725873112).

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

401332968 is a wasteful number, since it uses less digits than its factorization.

401332968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206468 (or 206452 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 401332968 is about 20033.2964836045. The cubic root of 401332968 is about 737.6238416183.

The spelling of 401332968 in words is "four hundred one million, three hundred thirty-two thousand, nine hundred sixty-eight".