458707968 has 176 divisors, whose sum is σ = 1391304960. Its totient is φ = 149225472.

The previous prime is 458707967. The next prime is 458707969. The reversal of 458707968 is 869707854.

It is an interprime number because it is at equal distance from previous prime (458707967) and next prime (458707969).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458707967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1299280 + ... + 1299632.

Almost surely, 2^458707968 is an apocalyptic number.

458707968 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 458707968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695652480).

458707968 is an abundant number, since it is smaller than the sum of its proper divisors (932596992).

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

458707968 is a wasteful number, since it uses less digits than its factorization.

458707968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 458707968 is about 21417.4687580022. The cubic root of 458707968 is about 771.2208484805.

The spelling of 458707968 in words is "four hundred fifty-eight million, seven hundred seven thousand, nine hundred sixty-eight".