815604480 has 216 divisors, whose sum is σ = 2859253488. Its totient is φ = 214622208.

The previous prime is 815604463. The next prime is 815604499. The reversal of 815604480 is 84406518.

815604480 is a `hidden beast` number, since 8 + 1 + 5 + 604 + 48 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 955734 + ... + 956586.

Almost surely, 2^815604480 is an apocalyptic number.

815604480 is a gapful number since it is divisible by the number (80) 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 815604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429626744).

815604480 is an abundant number, since it is smaller than the sum of its proper divisors (2043649008).

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

815604480 is a wasteful number, since it uses less digits than its factorization.

815604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 815604480 is about 28558.7898903297. The cubic root of 815604480 is about 934.3147409229.

The spelling of 815604480 in words is "eight hundred fifteen million, six hundred four thousand, four hundred eighty".