458072316 has 72 divisors (see below), whose sum is σ = 1254655584. Its totient is φ = 140077440.

The previous prime is 458072309. The next prime is 458072323. The reversal of 458072316 is 613270854.

458072316 is a `hidden beast` number, since 4 + 580 + 72 + 3 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (458072309) and next prime (458072323).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75226 + ... + 81086.

It is an arithmetic number, because the mean of its divisors is an integer number (17425772).

Almost surely, 2^458072316 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 458072316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627327792).

458072316 is an abundant number, since it is smaller than the sum of its proper divisors (796583268).

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

458072316 is a wasteful number, since it uses less digits than its factorization.

458072316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6051 (or 6046 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 458072316 is about 21402.6240447287. The cubic root of 458072316 is about 770.8644454768.

The spelling of 458072316 in words is "four hundred fifty-eight million, seventy-two thousand, three hundred sixteen".