456672420 has 72 divisors (see below), whose sum is σ = 1387956024. Its totient is φ = 121540608.

The previous prime is 456672401. The next prime is 456672421. The reversal of 456672420 is 24276654.

456672420 is a `hidden beast` number, since 4 + 566 + 72 + 4 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 172817316 + 283855104 = 13146^2 + 16848^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (456672421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101662 + ... + 106058.

It is an arithmetic number, because the mean of its divisors is an integer number (19277167).

Almost surely, 2^456672420 is an apocalyptic number.

It is an amenable number.

456672420 is an abundant number, since it is smaller than the sum of its proper divisors (931283604).

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

456672420 is a wasteful number, since it uses less digits than its factorization.

456672420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4989 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 456672420 is about 21369.8951799020. The cubic root of 456672420 is about 770.0783751110.

The spelling of 456672420 in words is "four hundred fifty-six million, six hundred seventy-two thousand, four hundred twenty".