401456304 has 80 divisors (see below), whose sum is σ = 1156399200. Its totient is φ = 133346304.

The previous prime is 401456287. The next prime is 401456333. The reversal of 401456304 is 403654104.

It is a super-2 number, since 2×401456304² = 322334328042680832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133732 + ... + 136700.

It is an arithmetic number, because the mean of its divisors is an integer number (14454990).

Almost surely, 2^401456304 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 401456304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578199600).

401456304 is an abundant number, since it is smaller than the sum of its proper divisors (754942896).

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

401456304 is a wasteful number, since it uses less digits than its factorization.

401456304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 401456304 is about 20036.3745223531. The cubic root of 401456304 is about 737.6993950561.

The spelling of 401456304 in words is "four hundred one million, four hundred fifty-six thousand, three hundred four".