456955417060 has 24 divisors (see below), whose sum is σ = 969107433336. Its totient is φ = 180972441600.

The previous prime is 456955417057. The next prime is 456955417069. The reversal of 456955417060 is 60714559654.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 149161253796 + 307794163264 = 386214^2 + 554792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 456955416989 and 456955417007.

It is not an unprimeable number, because it can be changed into a prime (456955417069) 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, 113105757 + ... + 113109796.

It is an arithmetic number, because the mean of its divisors is an integer number (40379476389).

Almost surely, 2^456955417060 is an apocalyptic number.

It is an amenable number.

456955417060 is an abundant number, since it is smaller than the sum of its proper divisors (512152016276).

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

456955417060 is a wasteful number, since it uses less digits than its factorization.

456955417060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226215663 (or 226215661 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 52.

The spelling of 456955417060 in words is "four hundred fifty-six billion, nine hundred fifty-five million, four hundred seventeen thousand, sixty".