458900464 has 80 divisors (see below), whose sum is σ = 1031184000. Its totient is φ = 195644160.

The previous prime is 458900459. The next prime is 458900473. The reversal of 458900464 is 464009854.

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, 363867 + ... + 365125.

It is an arithmetic number, because the mean of its divisors is an integer number (12889800).

Almost surely, 2^458900464 is an apocalyptic number.

458900464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 458900464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515592000).

458900464 is an abundant number, since it is smaller than the sum of its proper divisors (572283536).

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

458900464 is a wasteful number, since it uses less digits than its factorization.

458900464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 458900464 is about 21421.9621883711. The cubic root of 458900464 is about 771.3287138888.

The spelling of 458900464 in words is "four hundred fifty-eight million, nine hundred thousand, four hundred sixty-four".