815338401 has 16 divisors (see below), whose sum is σ = 1118323584. Its totient is φ = 528004224.

The previous prime is 815338331. The next prime is 815338417. The reversal of 815338401 is 104833518.

It is not a de Polignac number, because 815338401 - 2¹⁷ = 815207329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (815338441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66141 + ... + 77493.

It is an arithmetic number, because the mean of its divisors is an integer number (69895224).

Almost surely, 2^815338401 is an apocalyptic number.

It is an amenable number.

815338401 is a deficient number, since it is larger than the sum of its proper divisors (302985183).

815338401 is a wasteful number, since it uses less digits than its factorization.

815338401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12040.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 815338401 is about 28554.1310671503. The cubic root of 815338401 is about 934.2131277116.

The spelling of 815338401 in words is "eight hundred fifteen million, three hundred thirty-eight thousand, four hundred one".