456730628320 has 96 divisors (see below), whose sum is σ = 1088054747136. Its totient is φ = 181165017600.

The previous prime is 456730628303. The next prime is 456730628399. The reversal of 456730628320 is 23826037654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55083375 + ... + 55091665.

It is an arithmetic number, because the mean of its divisors is an integer number (11333903616).

Almost surely, 2^456730628320 is an apocalyptic number.

456730628320 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 456730628320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544027373568).

456730628320 is an abundant number, since it is smaller than the sum of its proper divisors (631324118816).

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

456730628320 is a wasteful number, since it uses less digits than its factorization.

456730628320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11144 (or 11136 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 456730628320 in words is "four hundred fifty-six billion, seven hundred thirty million, six hundred twenty-eight thousand, three hundred twenty".