458399952 has 80 divisors (see below), whose sum is σ = 1346431680. Its totient is φ = 149240448.

The previous prime is 458399881. The next prime is 458399987. The reversal of 458399952 is 259993854.

It is a happy number.

458399952 is a `hidden beast` number, since 4 + 583 + 9 + 9 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 6238 + ... + 30914.

It is an arithmetic number, because the mean of its divisors is an integer number (16830396).

Almost surely, 2^458399952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 458399952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673215840).

458399952 is an abundant number, since it is smaller than the sum of its proper divisors (888031728).

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

458399952 is a wasteful number, since it uses less digits than its factorization.

458399952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24737 (or 24725 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The square root of 458399952 is about 21410.2767847592. The cubic root of 458399952 is about 771.0481884823.

The spelling of 458399952 in words is "four hundred fifty-eight million, three hundred ninety-nine thousand, nine hundred fifty-two".