456499680 has 288 divisors, whose sum is σ = 1802624544. Its totient is φ = 96251904.

The previous prime is 456499663. The next prime is 456499709. The reversal of 456499680 is 86994654.

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, 305014 + ... + 306506.

It is an arithmetic number, because the mean of its divisors is an integer number (6259113).

Almost surely, 2^456499680 is an apocalyptic number.

456499680 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 456499680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901312272).

456499680 is an abundant number, since it is smaller than the sum of its proper divisors (1346124864).

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

456499680 is a wasteful number, since it uses less digits than its factorization.

456499680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 456499680 is about 21365.8531306381. The cubic root of 456499680 is about 769.9812667619.

The spelling of 456499680 in words is "four hundred fifty-six million, four hundred ninety-nine thousand, six hundred eighty".