456099416300 has 144 divisors (see below), whose sum is σ = 1107007147008. Its totient is φ = 161689190400.

The previous prime is 456099416299. The next prime is 456099416309. The reversal of 456099416300 is 3614990654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (456099416309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13269737 + ... + 13304063.

It is an arithmetic number, because the mean of its divisors is an integer number (7687549632).

Almost surely, 2^456099416300 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 456099416300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553503573504).

456099416300 is an abundant number, since it is smaller than the sum of its proper divisors (650907730708).

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

456099416300 is a wasteful number, since it uses less digits than its factorization.

456099416300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34656 (or 34649 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 47.

The spelling of 456099416300 in words is "four hundred fifty-six billion, ninety-nine million, four hundred sixteen thousand, three hundred".