458794368 has 320 divisors, whose sum is σ = 1532876400. Its totient is φ = 135364608.

The previous prime is 458794367. The next prime is 458794379. The reversal of 458794368 is 863497854.

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 (458794361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3348796 + ... + 3348932.

Almost surely, 2^458794368 is an apocalyptic number.

458794368 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 458794368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766438200).

458794368 is an abundant number, since it is smaller than the sum of its proper divisors (1074082032).

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

458794368 is a wasteful number, since it uses less digits than its factorization.

458794368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 178 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 458794368 is about 21419.4857081117. The cubic root of 458794368 is about 771.2692665757.

The spelling of 458794368 in words is "four hundred fifty-eight million, seven hundred ninety-four thousand, three hundred sixty-eight".