458968000 has 112 divisors (see below), whose sum is σ = 1149729984. Its totient is φ = 181478400.

The previous prime is 458967997. The next prime is 458968001. The reversal of 458968000 is 869854.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458968001) 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, 823722 + ... + 824278.

Almost surely, 2^458968000 is an apocalyptic number.

458968000 is a gapful number since it is divisible by the number (40) 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 458968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574864992).

458968000 is an abundant number, since it is smaller than the sum of its proper divisors (690761984).

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

458968000 is a wasteful number, since it uses less digits than its factorization.

458968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 458968000 is about 21423.5384565669. The cubic root of 458968000 is about 771.3665506347.

The spelling of 458968000 in words is "four hundred fifty-eight million, nine hundred sixty-eight thousand".