401515296 has 384 divisors, whose sum is σ = 1422489600. Its totient is φ = 96215040.

The previous prime is 401515243. The next prime is 401515307. The reversal of 401515296 is 692515104.

It is a super-2 number, since 2×401515296² = 322429065843935232, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6805315 + ... + 6805373.

It is an arithmetic number, because the mean of its divisors is an integer number (3704400).

Almost surely, 2^401515296 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 401515296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711244800).

401515296 is an abundant number, since it is smaller than the sum of its proper divisors (1020974304).

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

401515296 is a wasteful number, since it uses less digits than its factorization.

401515296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 401515296 is about 20037.8465908890. The cubic root of 401515296 is about 737.7355270343.

The spelling of 401515296 in words is "four hundred one million, five hundred fifteen thousand, two hundred ninety-six".