815352460 has 48 divisors (see below), whose sum is σ = 1854711936. Its totient is φ = 299296512.

The previous prime is 815352457. The next prime is 815352467. The reversal of 815352460 is 64253518.

It is not an unprimeable number, because it can be changed into a prime (815352467) 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, 35917 + ... + 54043.

It is an arithmetic number, because the mean of its divisors is an integer number (38639832).

Almost surely, 2^815352460 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 815352460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927355968).

815352460 is an abundant number, since it is smaller than the sum of its proper divisors (1039359476).

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

815352460 is a wasteful number, since it uses less digits than its factorization.

815352460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18322 (or 18320 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 815352460 is about 28554.3772476305. The cubic root of 815352460 is about 934.2184972722.

The spelling of 815352460 in words is "eight hundred fifteen million, three hundred fifty-two thousand, four hundred sixty".