8491253904 has 135 divisors (see below), whose sum is σ = 27668730297. Its totient is φ = 2423860992.

The previous prime is 8491253893. The next prime is 8491253923. The reversal of 8491253904 is 4093521948.

The square root of 8491253904 is 92148.

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., 2414739600 + 6076514304 = 49140^2 + 77952^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8491253904.

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, 7739884 + ... + 7740980.

Almost surely, 2^8491253904 is an apocalyptic number.

8491253904 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

8491253904 is the 92148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8491253904

8491253904 is an abundant number, since it is smaller than the sum of its proper divisors (19177476393).

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

8491253904 is a wasteful number, since it uses less digits than its factorization.

8491253904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The cubic root of 8491253904 is about 2040.1273392253.

The spelling of 8491253904 in words is "eight billion, four hundred ninety-one million, two hundred fifty-three thousand, nine hundred four".