815384232 has 160 divisors (see below), whose sum is σ = 2517826080. Its totient is φ = 244944000.

The previous prime is 815384197. The next prime is 815384233. The reversal of 815384232 is 232483518.

815384232 is a `hidden beast` number, since 81 + 538 + 42 + 3 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (815384233) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 361107 + ... + 363357.

It is an arithmetic number, because the mean of its divisors is an integer number (15736413).

Almost surely, 2^815384232 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 815384232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258913040).

815384232 is an abundant number, since it is smaller than the sum of its proper divisors (1702441848).

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

815384232 is a wasteful number, since it uses less digits than its factorization.

815384232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2312 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 815384232 is about 28554.9335842337. The cubic root of 815384232 is about 934.2306317400.

The spelling of 815384232 in words is "eight hundred fifteen million, three hundred eighty-four thousand, two hundred thirty-two".