458460323328 has 640 divisors, whose sum is σ = 1524565278720. Its totient is φ = 119558799360.

The previous prime is 458460323323. The next prime is 458460323329. The reversal of 458460323328 is 823323064854.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458460323323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 605627526 + ... + 605628282.

It is an arithmetic number, because the mean of its divisors is an integer number (2382133248).

Almost surely, 2^458460323328 is an apocalyptic number.

458460323328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 458460323328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762282639360).

458460323328 is an abundant number, since it is smaller than the sum of its proper divisors (1066104955392).

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

458460323328 is a wasteful number, since it uses less digits than its factorization.

458460323328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 458460323328 in words is "four hundred fifty-eight billion, four hundred sixty million, three hundred twenty-three thousand, three hundred twenty-eight".