815094400 has 96 divisors (see below), whose sum is σ = 2026209600. Its totient is φ = 323988480.

The previous prime is 815094337. The next prime is 815094403. The reversal of 815094400 is 4490518.

It is a happy number.

It is a super-2 number, since 2×815094400² = 1328757761822720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (815094403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 572089 + ... + 573511.

It is an arithmetic number, because the mean of its divisors is an integer number (21106350).

Almost surely, 2^815094400 is an apocalyptic number.

815094400 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 815094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013104800).

815094400 is an abundant number, since it is smaller than the sum of its proper divisors (1211115200).

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

815094400 is a wasteful number, since it uses less digits than its factorization.

815094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 815094400 is about 28549.8581432553. The cubic root of 815094400 is about 934.1199264593.

The spelling of 815094400 in words is "eight hundred fifteen million, ninety-four thousand, four hundred".