915253920 has 576 divisors, whose sum is σ = 3849431040. Its totient is φ = 193536000.

The previous prime is 915253903. The next prime is 915253931. The reversal of 915253920 is 29352519.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9061870 + ... + 9061970.

It is an arithmetic number, because the mean of its divisors is an integer number (6683040).

Almost surely, 2^915253920 is an apocalyptic number.

915253920 is a gapful number since it is divisible by the number (90) 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 915253920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924715520).

915253920 is an abundant number, since it is smaller than the sum of its proper divisors (2934177120).

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

915253920 is a wasteful number, since it uses less digits than its factorization.

915253920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 915253920 is about 30253.1638014936. The cubic root of 915253920 is about 970.9134838913.

The spelling of 915253920 in words is "nine hundred fifteen million, two hundred fifty-three thousand, nine hundred twenty".