456845730 has 64 divisors (see below), whose sum is σ = 1198844928. Its totient is φ = 110496960.

The previous prime is 456845707. The next prime is 456845761. The reversal of 456845730 is 37548654.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171267 + ... + 173913.

It is an arithmetic number, because the mean of its divisors is an integer number (18731952).

Almost surely, 2^456845730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456845730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599422464).

456845730 is an abundant number, since it is smaller than the sum of its proper divisors (741999198).

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

456845730 is a wasteful number, since it uses less digits than its factorization.

456845730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191.

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 456845730 is about 21373.9497987620. The cubic root of 456845730 is about 770.1757792879.

The spelling of 456845730 in words is "four hundred fifty-six million, eight hundred forty-five thousand, seven hundred thirty".