456164010 has 24 divisors (see below), whose sum is σ = 1186026660. Its totient is φ = 121643712.

The previous prime is 456163993. The next prime is 456164011. The reversal of 456164010 is 10461654.

456164010 is a `hidden beast` number, since 4 + 5 + 6 + 1 + 640 + 10 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 430853049 + 25310961 = 20757^2 + 5031^2 .

It is not an unprimeable number, because it can be changed into a prime (456164011) 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, 2534155 + ... + 2534334.

Almost surely, 2^456164010 is an apocalyptic number.

456164010 is an abundant number, since it is smaller than the sum of its proper divisors (729862650).

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

456164010 is a wasteful number, since it uses less digits than its factorization.

456164010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068502 (or 5068499 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 456164010 is about 21357.9963947932. The cubic root of 456164010 is about 769.7924948243.

The spelling of 456164010 in words is "four hundred fifty-six million, one hundred sixty-four thousand, ten".