456770680 has 32 divisors (see below), whose sum is σ = 1035140400. Its totient is φ = 181391616.

The previous prime is 456770641. The next prime is 456770681. The reversal of 456770680 is 86077654.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456770681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35517 + ... + 46636.

Almost surely, 2^456770680 is an apocalyptic number.

456770680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456770680 is an abundant number, since it is smaller than the sum of its proper divisors (578369720).

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

456770680 is a wasteful number, since it uses less digits than its factorization.

456770680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82303 (or 82299 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The square root of 456770680 is about 21372.1940848384. The cubic root of 456770680 is about 770.1336024990.

The spelling of 456770680 in words is "four hundred fifty-six million, seven hundred seventy thousand, six hundred eighty".