456961320 has 48 divisors (see below), whose sum is σ = 1485125460. Its totient is φ = 121856256.

The previous prime is 456961291. The next prime is 456961321. The reversal of 456961320 is 23169654.

It is a happy number.

456961320 is a `hidden beast` number, since 4 + 569 + 61 + 32 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 453434436 + 3526884 = 21294^2 + 1878^2 .

It is a super-2 number, since 2×456961320² = 417627295952284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (456961321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 634309 + ... + 635028.

Almost surely, 2^456961320 is an apocalyptic number.

456961320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456961320 is an abundant number, since it is smaller than the sum of its proper divisors (1028164140).

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

456961320 is a wasteful number, since it uses less digits than its factorization.

456961320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269354 (or 1269347 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 456961320 is about 21376.6536202466. The cubic root of 456961320 is about 770.2407298137.

The spelling of 456961320 in words is "four hundred fifty-six million, nine hundred sixty-one thousand, three hundred twenty".