395456256 has 252 divisors, whose sum is σ = 1282368808. Its totient is φ = 120932352.

The previous prime is 395456249. The next prime is 395456263. The reversal of 395456256 is 652654593.

395456256 is a `hidden beast` number, since 39 + 5 + 4 + 562 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (395456249) and next prime (395456263).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2426031 + ... + 2426193.

Almost surely, 2^395456256 is an apocalyptic number.

395456256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395456256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641184404).

395456256 is an abundant number, since it is smaller than the sum of its proper divisors (886912552).

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

395456256 is an equidigital number, since it uses as much as digits as its factorization.

395456256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 181 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The square root of 395456256 is about 19886.0819670442. The cubic root of 395456256 is about 734.0057861235.

The spelling of 395456256 in words is "three hundred ninety-five million, four hundred fifty-six thousand, two hundred fifty-six".