456569680 has 160 divisors (see below), whose sum is σ = 1296345600. Its totient is φ = 145981440.

The previous prime is 456569669. The next prime is 456569681. The reversal of 456569680 is 86965654.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456569681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1894360 + ... + 1894600.

It is an arithmetic number, because the mean of its divisors is an integer number (8102160).

Almost surely, 2^456569680 is an apocalyptic number.

456569680 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 456569680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648172800).

456569680 is an abundant number, since it is smaller than the sum of its proper divisors (839775920).

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

456569680 is a wasteful number, since it uses less digits than its factorization.

456569680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The square root of 456569680 is about 21367.4911957394. The cubic root of 456569680 is about 770.0206212502.

The spelling of 456569680 in words is "four hundred fifty-six million, five hundred sixty-nine thousand, six hundred eighty".