456424998200 has 24 divisors (see below), whose sum is σ = 1061188121280. Its totient is φ = 182569999200.

The previous prime is 456424998193. The next prime is 456424998203. The reversal of 456424998200 is 2899424654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456424998203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1141062296 + ... + 1141062695.

It is an arithmetic number, because the mean of its divisors is an integer number (44216171720).

Almost surely, 2^456424998200 is an apocalyptic number.

456424998200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456424998200 is an abundant number, since it is smaller than the sum of its proper divisors (604763123080).

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

456424998200 is a wasteful number, since it uses less digits than its factorization.

456424998200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282125007 (or 2282124998 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 53.

The spelling of 456424998200 in words is "four hundred fifty-six billion, four hundred twenty-four million, nine hundred ninety-eight thousand, two hundred".