1516376304 has 120 divisors (see below), whose sum is σ = 4321933200. Its totient is φ = 496235520.

The previous prime is 1516376297. The next prime is 1516376333. The reversal of 1516376304 is 4036736151.

1516376304 is a `hidden beast` number, since 1 + 5 + 16 + 3 + 7 + 630 + 4 = 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 23 ways as a sum of consecutive naturals, for example, 2293734 + ... + 2294394.

It is an arithmetic number, because the mean of its divisors is an integer number (36016110).

Almost surely, 2^1516376304 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 1516376304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160966600).

1516376304 is an abundant number, since it is smaller than the sum of its proper divisors (2805556896).

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

1516376304 is a wasteful number, since it uses less digits than its factorization.

1516376304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1516376304 is about 38940.6767275557. The cubic root of 1516376304 is about 1148.8649933292.

The spelling of 1516376304 in words is "one billion, five hundred sixteen million, three hundred seventy-six thousand, three hundred four".