915531456 has 112 divisors (see below), whose sum is σ = 2775159296. Its totient is φ = 260941824.

The previous prime is 915531451. The next prime is 915531457. The reversal of 915531456 is 654135519.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (915531451) 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, 976620 + ... + 977556.

It is an arithmetic number, because the mean of its divisors is an integer number (24778208).

Almost surely, 2^915531456 is an apocalyptic number.

915531456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 915531456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387579648).

915531456 is an abundant number, since it is smaller than the sum of its proper divisors (1859627840).

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

915531456 is a wasteful number, since it uses less digits than its factorization.

915531456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1676 counting only the distinct ones).

The product of its digits is 81000, while the sum is 39.

The square root of 915531456 is about 30257.7503459857. The cubic root of 915531456 is about 971.0116119286.

The spelling of 915531456 in words is "nine hundred fifteen million, five hundred thirty-one thousand, four hundred fifty-six".