5307413904 has 135 divisors (see below), whose sum is σ = 16118360193. Its totient is φ = 1629553536.

The previous prime is 5307413899. The next prime is 5307413981. The reversal of 5307413904 is 4093147035.

The square root of 5307413904 is 72852.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 785120400 + 4522293504 = 28020^2 + 67248^2 .

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 26 ways as a sum of consecutive naturals, for example, 11364679 + ... + 11365145.

Almost surely, 2^5307413904 is an apocalyptic number.

5307413904 is the 72852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5307413904

5307413904 is an abundant number, since it is smaller than the sum of its proper divisors (10810946289).

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

5307413904 is a wasteful number, since it uses less digits than its factorization.

5307413904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 485 counting only the distinct ones).

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

The cubic root of 5307413904 is about 1744.3259936154.

Multiplying 5307413904 by its sum of digits (36), we get a square (191066900544 = 437112²).

5307413904 divided by its sum of digits (36) gives a square (147428164 = 12142²).

The spelling of 5307413904 in words is "five billion, three hundred seven million, four hundred thirteen thousand, nine hundred four".