815252256 has 192 divisors, whose sum is σ = 2926828800. Its totient is φ = 214990848.

The previous prime is 815252233. The next prime is 815252261. The reversal of 815252256 is 652252518.

It is a happy number.

815252256 is a `hidden beast` number, since 81 + 5 + 2 + 522 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 815252256.

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, 73440 + ... + 83808.

It is an arithmetic number, because the mean of its divisors is an integer number (15243900).

Almost surely, 2^815252256 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 815252256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463414400).

815252256 is an abundant number, since it is smaller than the sum of its proper divisors (2111576544).

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

815252256 is a wasteful number, since it uses less digits than its factorization.

815252256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10408 (or 10394 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 815252256 is about 28552.6225765690. The cubic root of 815252256 is about 934.1802249625.

The spelling of 815252256 in words is "eight hundred fifteen million, two hundred fifty-two thousand, two hundred fifty-six".