458640432 has 120 divisors (see below), whose sum is σ = 1327133808. Its totient is φ = 147763200.

The previous prime is 458640431. The next prime is 458640437. The reversal of 458640432 is 234046854.

458640432 is a `hidden beast` number, since 4 + 5 + 8 + 640 + 4 + 3 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (458640431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 773128 + ... + 773720.

Almost surely, 2^458640432 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 458640432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663566904).

458640432 is an abundant number, since it is smaller than the sum of its proper divisors (868493376).

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

458640432 is a wasteful number, since it uses less digits than its factorization.

458640432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 458640432 is about 21415.8920430600. The cubic root of 458640432 is about 771.1829974357.

The spelling of 458640432 in words is "four hundred fifty-eight million, six hundred forty thousand, four hundred thirty-two".