456868980 has 144 divisors (see below), whose sum is σ = 1440863424. Its totient is φ = 117089280.

The previous prime is 456868949. The next prime is 456868981. The reversal of 456868980 is 89868654.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456868981) 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, 518140 + ... + 519020.

It is an arithmetic number, because the mean of its divisors is an integer number (10005996).

Almost surely, 2^456868980 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 456868980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720431712).

456868980 is an abundant number, since it is smaller than the sum of its proper divisors (983994444).

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

456868980 is a wasteful number, since it uses less digits than its factorization.

456868980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 456868980 is about 21374.4936782138. The cubic root of 456868980 is about 770.1888444446.

The spelling of 456868980 in words is "four hundred fifty-six million, eight hundred sixty-eight thousand, nine hundred eighty".