458080272 has 320 divisors, whose sum is σ = 1537401600. Its totient is φ = 131010048.

The previous prime is 458080267. The next prime is 458080303. The reversal of 458080272 is 272080854.

It is a happy number.

458080272 is a `hidden beast` number, since 4 + 580 + 8 + 0 + 2 + 72 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8642998 + ... + 8643050.

It is an arithmetic number, because the mean of its divisors is an integer number (4804380).

Almost surely, 2^458080272 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 458080272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768700800).

458080272 is an abundant number, since it is smaller than the sum of its proper divisors (1079321328).

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

458080272 is a wasteful number, since it uses less digits than its factorization.

458080272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 458080272 is about 21402.8099089816. The cubic root of 458080272 is about 770.8689083544.

The spelling of 458080272 in words is "four hundred fifty-eight million, eighty thousand, two hundred seventy-two".