401072256 has 256 divisors, whose sum is σ = 1302336000. Its totient is φ = 120766464.

The previous prime is 401072249. The next prime is 401072257. The reversal of 401072256 is 652270104.

401072256 is a `hidden beast` number, since 401 + 0 + 7 + 2 + 256 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (401072257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3549256 + ... + 3549368.

It is an arithmetic number, because the mean of its divisors is an integer number (5087250).

Almost surely, 2^401072256 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 401072256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651168000).

401072256 is an abundant number, since it is smaller than the sum of its proper divisors (901263744).

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

401072256 is a wasteful number, since it uses less digits than its factorization.

401072256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 401072256 is about 20026.7884594610. The cubic root of 401072256 is about 737.4640831307.

The spelling of 401072256 in words is "four hundred one million, seventy-two thousand, two hundred fifty-six".