456466020 has 48 divisors (see below), whose sum is σ = 1282319808. Its totient is φ = 121322880.

The previous prime is 456466009. The next prime is 456466057. The reversal of 456466020 is 20664654.

It is a super-2 number, since 2×456466020² = 416722454829280800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6030 + ... + 30810.

It is an arithmetic number, because the mean of its divisors is an integer number (26714996).

Almost surely, 2^456466020 is an apocalyptic number.

It is an amenable number.

456466020 is an abundant number, since it is smaller than the sum of its proper divisors (825853788).

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

456466020 is a wasteful number, since it uses less digits than its factorization.

456466020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25100 (or 25098 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 456466020 is about 21365.0654106183. The cubic root of 456466020 is about 769.9623414427.

The spelling of 456466020 in words is "four hundred fifty-six million, four hundred sixty-six thousand, twenty".