401342256 has 320 divisors, whose sum is σ = 1438479360. Its totient is φ = 104509440.

The previous prime is 401342237. The next prime is 401342303. The reversal of 401342256 is 652243104.

401342256 is a `hidden beast` number, since 401 + 3 + 4 + 2 + 256 = 666.

It is a super-2 number, since 2×401342256² = 322151212902339072, 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 63 ways as a sum of consecutive naturals, for example, 1901991 + ... + 1902201.

It is an arithmetic number, because the mean of its divisors is an integer number (4495248).

Almost surely, 2^401342256 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 401342256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719239680).

401342256 is an abundant number, since it is smaller than the sum of its proper divisors (1037137104).

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

401342256 is a wasteful number, since it uses less digits than its factorization.

401342256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 277 counting only the distinct ones).

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

The square root of 401342256 is about 20033.5282963336. The cubic root of 401342256 is about 737.6295318206.

The spelling of 401342256 in words is "four hundred one million, three hundred forty-two thousand, two hundred fifty-six".