815401344 has 64 divisors (see below), whose sum is σ = 2193408000. Its totient is φ = 268349952.

The previous prime is 815401309. The next prime is 815401351. The reversal of 815401344 is 443104518.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16897 + ... + 43775.

It is an arithmetic number, because the mean of its divisors is an integer number (34272000).

Almost surely, 2^815401344 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 815401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096704000).

815401344 is an abundant number, since it is smaller than the sum of its proper divisors (1378006656).

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

815401344 is a wasteful number, since it uses less digits than its factorization.

815401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26975 (or 26963 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 815401344 is about 28555.2332156472. The cubic root of 815401344 is about 934.2371670813.

The spelling of 815401344 in words is "eight hundred fifteen million, four hundred one thousand, three hundred forty-four".