458707072 has 32 divisors (see below), whose sum is σ = 917914320. Its totient is φ = 228328704.

The previous prime is 458707069. The next prime is 458707091. The reversal of 458707072 is 270707854.

It is a tau number, because it is divible by the number of its divisors (32).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21163 + ... + 36949.

Almost surely, 2^458707072 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 458707072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458957160).

458707072 is an abundant number, since it is smaller than the sum of its proper divisors (459207248).

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

458707072 is a wasteful number, since it uses less digits than its factorization.

458707072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16028 (or 16016 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 40.

The square root of 458707072 is about 21417.4478404874. The cubic root of 458707072 is about 771.2203463351.

The spelling of 458707072 in words is "four hundred fifty-eight million, seven hundred seven thousand, seventy-two".