456126560 has 48 divisors (see below), whose sum is σ = 1112372352. Its totient is φ = 176563200.

The previous prime is 456126509. The next prime is 456126563. The reversal of 456126560 is 65621654.

It is a self number, because there is not a number n which added to its sum of digits gives 456126560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456126563) 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, 41021 + ... + 50940.

It is an arithmetic number, because the mean of its divisors is an integer number (23174424).

Almost surely, 2^456126560 is an apocalyptic number.

456126560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456126560 is an abundant number, since it is smaller than the sum of its proper divisors (656245792).

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

456126560 is a wasteful number, since it uses less digits than its factorization.

456126560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92007 (or 91999 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 456126560 is about 21357.1196559836. The cubic root of 456126560 is about 769.7714281924.

The spelling of 456126560 in words is "four hundred fifty-six million, one hundred twenty-six thousand, five hundred sixty".