400208256 has 256 divisors, whose sum is σ = 1374796800. Its totient is φ = 112250880.

The previous prime is 400208239. The next prime is 400208261. The reversal of 400208256 is 652802004.

400208256 is a `hidden beast` number, since 400 + 2 + 0 + 8 + 256 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1717516 + ... + 1717748.

It is an arithmetic number, because the mean of its divisors is an integer number (5370300).

Almost surely, 2^400208256 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 400208256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687398400).

400208256 is an abundant number, since it is smaller than the sum of its proper divisors (974588544).

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

400208256 is a wasteful number, since it uses less digits than its factorization.

400208256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 400208256 is about 20005.2057225113. The cubic root of 400208256 is about 736.9341478203.

The spelling of 400208256 in words is "four hundred million, two hundred eight thousand, two hundred fifty-six".