1500912864 has 432 divisors, whose sum is σ = 5269970160. Its totient is φ = 399974400.

The previous prime is 1500912839. The next prime is 1500912901. The reversal of 1500912864 is 4682190051.

1500912864 is a `hidden beast` number, since 1 + 500 + 91 + 2 + 8 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48416529 + ... + 48416559.

It is an arithmetic number, because the mean of its divisors is an integer number (12199005).

Almost surely, 2^1500912864 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 1500912864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634985080).

1500912864 is an abundant number, since it is smaller than the sum of its proper divisors (3769057296).

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

1500912864 is a wasteful number, since it uses less digits than its factorization.

1500912864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1500912864 is about 38741.6166931634. The cubic root of 1500912864 is about 1144.9464106673.

The spelling of 1500912864 in words is "one billion, five hundred million, nine hundred twelve thousand, eight hundred sixty-four".