401516328 has 32 divisors (see below), whose sum is σ = 1004448960. Its totient is φ = 133751040.

The previous prime is 401516317. The next prime is 401516369. The reversal of 401516328 is 823615104.

It is a super-2 number, since 2×401516328² = 322430723301207168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401516295 and 401516304.

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 7 ways as a sum of consecutive naturals, for example, 39376 + ... + 48512.

It is an arithmetic number, because the mean of its divisors is an integer number (31389030).

Almost surely, 2^401516328 is an apocalyptic number.

It is an amenable number.

401516328 is an abundant number, since it is smaller than the sum of its proper divisors (602932632).

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

401516328 is a wasteful number, since it uses less digits than its factorization.

401516328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10977 (or 10973 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 401516328 is about 20037.8723421425. The cubic root of 401516328 is about 737.7361590919.

The spelling of 401516328 in words is "four hundred one million, five hundred sixteen thousand, three hundred twenty-eight".