456405066 has 24 divisors (see below), whose sum is σ = 1064945700. Its totient is φ = 140432256.

The previous prime is 456405043. The next prime is 456405067. The reversal of 456405066 is 660504654.

It is a happy number.

456405066 is a `hidden beast` number, since 4 + 5 + 640 + 5 + 0 + 6 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 449228025 + 7177041 = 21195^2 + 2679^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 456405066.

It is not an unprimeable number, because it can be changed into a prime (456405067) 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, 974991 + ... + 975458.

Almost surely, 2^456405066 is an apocalyptic number.

456405066 is an abundant number, since it is smaller than the sum of its proper divisors (608540634).

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

456405066 is a wasteful number, since it uses less digits than its factorization.

456405066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950470 (or 1950467 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 456405066 is about 21363.6388754351. The cubic root of 456405066 is about 769.9280677168.

The spelling of 456405066 in words is "four hundred fifty-six million, four hundred five thousand, sixty-six".