815456 has 24 divisors (see below), whose sum is σ = 1701000. Its totient is φ = 383488.

The previous prime is 815453. The next prime is 815459. The reversal of 815456 is 654518.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (815453) and next prime (815459).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815453) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206 + ... + 1293.

It is an arithmetic number, because the mean of its divisors is an integer number (70875).

2⁸¹⁵⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

815456 is an abundant number, since it is smaller than the sum of its proper divisors (885544).

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

815456 is a wasteful number, since it uses less digits than its factorization.

815456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1518 counting only the distinct ones).

The product of its digits is 4800, while the sum is 29.

The square root of 815456 is about 903.0260239882. The cubic root of 815456 is about 93.4258040453.

The spelling of 815456 in words is "eight hundred fifteen thousand, four hundred fifty-six".