725461407 has 16 divisors (see below), whose sum is σ = 1172463360. Its totient is φ = 439673400.

The previous prime is 725461393. The next prime is 725461441. The reversal of 725461407 is 704164527.

725461407 is a `hidden beast` number, since 72 + 546 + 1 + 40 + 7 = 666.

It is not a de Polignac number, because 725461407 - 2⁷ = 725461279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725461447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1221019 + ... + 1221612.

It is an arithmetic number, because the mean of its divisors is an integer number (73278960).

Almost surely, 2^725461407 is an apocalyptic number.

725461407 is a deficient number, since it is larger than the sum of its proper divisors (447001953).

725461407 is a wasteful number, since it uses less digits than its factorization.

725461407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442651 (or 2442645 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 725461407 is about 26934.3907857594. The cubic root of 725461407 is about 898.5414263469.

The spelling of 725461407 in words is "seven hundred twenty-five million, four hundred sixty-one thousand, four hundred seven".