725967408 has 30 divisors (see below), whose sum is σ = 1875898164. Its totient is φ = 241926912.

The previous prime is 725967401. The next prime is 725967427. The reversal of 725967408 is 804769527.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (725967401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 184728 + ... + 188616.

Almost surely, 2^725967408 is an apocalyptic number.

It is an amenable number.

725967408 is an abundant number, since it is smaller than the sum of its proper divisors (1149930756).

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

725967408 is an frugal number, since it uses more digits than its factorization.

725967408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7789 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 725967408 is about 26943.7823625415. The cubic root of 725967408 is about 898.7502852374.

Multiplying 725967408 by its sum of digits (48), we get a square (34846435584 = 186672²).

725967408 divided by its sum of digits (48) gives a square (15124321 = 3889²).

The spelling of 725967408 in words is "seven hundred twenty-five million, nine hundred sixty-seven thousand, four hundred eight".