815670456 has 64 divisors (see below), whose sum is σ = 2151494400. Its totient is φ = 256981248.

The previous prime is 815670409. The next prime is 815670461. The reversal of 815670456 is 654076518.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220236 + ... + 223908.

It is an arithmetic number, because the mean of its divisors is an integer number (33617100).

Almost surely, 2^815670456 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 815670456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075747200).

815670456 is an abundant number, since it is smaller than the sum of its proper divisors (1335823944).

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

815670456 is a wasteful number, since it uses less digits than its factorization.

815670456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 815670456 is about 28559.9449579302. The cubic root of 815670456 is about 934.3399331530.

The spelling of 815670456 in words is "eight hundred fifteen million, six hundred seventy thousand, four hundred fifty-six".