815452120 has 96 divisors (see below), whose sum is σ = 2227240800. Its totient is φ = 267412992.

The previous prime is 815452091. The next prime is 815452123. The reversal of 815452120 is 21254518.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815452123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36036 + ... + 54124.

It is an arithmetic number, because the mean of its divisors is an integer number (23200425).

Almost surely, 2^815452120 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 815452120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113620400).

815452120 is an abundant number, since it is smaller than the sum of its proper divisors (1411788680).

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

815452120 is a wasteful number, since it uses less digits than its factorization.

815452120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18137 (or 18126 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 815452120 is about 28556.1222857726. The cubic root of 815452120 is about 934.2565586943.

The spelling of 815452120 in words is "eight hundred fifteen million, four hundred fifty-two thousand, one hundred twenty".