458400768 has 88 divisors (see below), whose sum is σ = 1396414272. Its totient is φ = 130965504.

The previous prime is 458400749. The next prime is 458400809. The reversal of 458400768 is 867004854.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10846 + ... + 32162.

It is an arithmetic number, because the mean of its divisors is an integer number (15868344).

Almost surely, 2^458400768 is an apocalyptic number.

458400768 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 458400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698207136).

458400768 is an abundant number, since it is smaller than the sum of its proper divisors (938013504).

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

458400768 is a wasteful number, since it uses less digits than its factorization.

458400768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21347 (or 21329 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 458400768 is about 21410.2958410200. The cubic root of 458400768 is about 771.0486459976.

The spelling of 458400768 in words is "four hundred fifty-eight million, four hundred thousand, seven hundred sixty-eight".