456998800 has 60 divisors (see below), whose sum is σ = 1100844720. Its totient is φ = 182316160.

The previous prime is 456998771. The next prime is 456998809. The reversal of 456998800 is 8899654.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (456998809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175911 + ... + 178489.

It is an arithmetic number, because the mean of its divisors is an integer number (18347412).

Almost surely, 2^456998800 is an apocalyptic number.

456998800 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 456998800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550422360).

456998800 is an abundant number, since it is smaller than the sum of its proper divisors (643845920).

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

456998800 is a wasteful number, since it uses less digits than its factorization.

456998800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The square root of 456998800 is about 21377.5302595973. The cubic root of 456998800 is about 770.2617876378.

The spelling of 456998800 in words is "four hundred fifty-six million, nine hundred ninety-eight thousand, eight hundred".