456565680 has 80 divisors (see below), whose sum is σ = 1572622560. Its totient is φ = 121750272.

The previous prime is 456565667. The next prime is 456565717. The reversal of 456565680 is 86565654.

It is a happy number.

456565680 is a `hidden beast` number, since 4 + 5 + 6 + 565 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 103527 + ... + 107846.

It is an arithmetic number, because the mean of its divisors is an integer number (19657782).

Almost surely, 2^456565680 is an apocalyptic number.

456565680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456565680 is an abundant number, since it is smaller than the sum of its proper divisors (1116056880).

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

456565680 is a wasteful number, since it uses less digits than its factorization.

456565680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211395 (or 211383 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 456565680 is about 21367.3975954022. The cubic root of 456565680 is about 770.0183725306.

The spelling of 456565680 in words is "four hundred fifty-six million, five hundred sixty-five thousand, six hundred eighty".