401888256 has 176 divisors, whose sum is σ = 1336281600. Its totient is φ = 104325120.

The previous prime is 401888243. The next prime is 401888303. The reversal of 401888256 is 652888104.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 235695 + ... + 237393.

Almost surely, 2^401888256 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 401888256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668140800).

401888256 is an abundant number, since it is smaller than the sum of its proper divisors (934393344).

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

401888256 is a wasteful number, since it uses less digits than its factorization.

401888256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 401888256 is about 20047.1508200043. The cubic root of 401888256 is about 737.9638792260.

The spelling of 401888256 in words is "four hundred one million, eight hundred eighty-eight thousand, two hundred fifty-six".