401335456 has 36 divisors (see below), whose sum is σ = 839360718. Its totient is φ = 188859392.

The previous prime is 401335453. The next prime is 401335457. The reversal of 401335456 is 654533104.

It can be written as a sum of positive squares in 3 ways, for example, as 392832400 + 8503056 = 19820^2 + 2916^2 .

It is a super-2 number, since 2×401335456² = 322140296485455872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401335453) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12451 + ... + 30946.

Almost surely, 2^401335456 is an apocalyptic number.

It is an amenable number.

401335456 is an abundant number, since it is smaller than the sum of its proper divisors (438025262).

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

401335456 is a wasteful number, since it uses less digits than its factorization.

401335456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43441 (or 43416 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 401335456 is about 20033.3585801283. The cubic root of 401335456 is about 737.6253658757.

The spelling of 401335456 in words is "four hundred one million, three hundred thirty-five thousand, four hundred fifty-six".