458725905 has 48 divisors (see below), whose sum is σ = 874358784. Its totient is φ = 220631040.

The previous prime is 458725877. The next prime is 458725919. The reversal of 458725905 is 509527854.

458725905 is a `hidden beast` number, since 4 + 58 + 7 + 2 + 590 + 5 = 666.

It is not a de Polignac number, because 458725905 - 2¹⁹ = 458201617 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59217 + ... + 66513.

It is an arithmetic number, because the mean of its divisors is an integer number (18215808).

Almost surely, 2^458725905 is an apocalyptic number.

458725905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

458725905 is a deficient number, since it is larger than the sum of its proper divisors (415632879).

458725905 is a wasteful number, since it uses less digits than its factorization.

458725905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7446 (or 7443 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 458725905 is about 21417.8875008718. The cubic root of 458725905 is about 771.2309007789.

The spelling of 458725905 in words is "four hundred fifty-eight million, seven hundred twenty-five thousand, nine hundred five".