458494320 has 80 divisors (see below), whose sum is σ = 1496154240. Its totient is φ = 115828992.

The previous prime is 458494319. The next prime is 458494363. The reversal of 458494320 is 23494854.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45714 + ... + 54833.

It is an arithmetic number, because the mean of its divisors is an integer number (18701928).

Almost surely, 2^458494320 is an apocalyptic number.

458494320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

458494320 is an abundant number, since it is smaller than the sum of its proper divisors (1037659920).

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

458494320 is a wasteful number, since it uses less digits than its factorization.

458494320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100582 (or 100576 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 458494320 is about 21412.4804728457. The cubic root of 458494320 is about 771.1010951799.

The spelling of 458494320 in words is "four hundred fifty-eight million, four hundred ninety-four thousand, three hundred twenty".