815530464 has 384 divisors, whose sum is σ = 2941747200. Its totient is φ = 214617600.

The previous prime is 815530453. The next prime is 815530493. The reversal of 815530464 is 464035518.

It is a happy number.

815530464 is a `hidden beast` number, since 81 + 5 + 530 + 46 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5400789 + ... + 5400939.

It is an arithmetic number, because the mean of its divisors is an integer number (7660800).

Almost surely, 2^815530464 is an apocalyptic number.

815530464 is a gapful number since it is divisible by the number (84) 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 815530464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470873600).

815530464 is an abundant number, since it is smaller than the sum of its proper divisors (2126216736).

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

815530464 is a wasteful number, since it uses less digits than its factorization.

815530464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 815530464 is about 28557.4940077031. The cubic root of 815530464 is about 934.2864770876.

The spelling of 815530464 in words is "eight hundred fifteen million, five hundred thirty thousand, four hundred sixty-four".