815304 has 64 divisors (see below), whose sum is σ = 2442240. Its totient is φ = 221760.

The previous prime is 815291. The next prime is 815317. The reversal of 815304 is 403518.

It is an interprime number because it is at equal distance from previous prime (815291) and next prime (815317).

It is a super-2 number, since 2×815304² = 1329441224832, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 15.

It is an unprimeable number.

815304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3759 + ... + 3969.

It is an arithmetic number, because the mean of its divisors is an integer number (38160).

2⁸¹⁵³⁰⁴ is an apocalyptic number.

815304 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

815304 is the 483-rd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221120).

815304 is an abundant number, since it is smaller than the sum of its proper divisors (1626936).

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

815304 is a wasteful number, since it uses less digits than its factorization.

815304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 815304 is about 902.9418585933. The cubic root of 815304 is about 93.4199988661.

The spelling of 815304 in words is "eight hundred fifteen thousand, three hundred four".