456457422300 has 144 divisors (see below), whose sum is σ = 1441520986752. Its totient is φ = 110596793600.

The previous prime is 456457422271. The next prime is 456457422331. The reversal of 456457422300 is 3224754654.

It is a super-3 number, since 3×456457422300³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6256834 + ... + 6329366.

It is an arithmetic number, because the mean of its divisors is an integer number (10010562408).

Almost surely, 2^456457422300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456457422300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720760493376).

456457422300 is an abundant number, since it is smaller than the sum of its proper divisors (985063564452).

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

456457422300 is a wasteful number, since it uses less digits than its factorization.

456457422300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74468 (or 74461 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 456457422300 in words is "four hundred fifty-six billion, four hundred fifty-seven million, four hundred twenty-two thousand, three hundred".