450566920 has 32 divisors (see below), whose sum is σ = 1019392920. Its totient is φ = 179228160.

The previous prime is 450566891. The next prime is 450566947. The reversal of 450566920 is 29665054.

It can be written as a sum of positive squares in 4 ways, for example, as 339517476 + 111049444 = 18426^2 + 10538^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 450566920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23877 + ... + 38356.

Almost surely, 2^450566920 is an apocalyptic number.

450566920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450566920 is an abundant number, since it is smaller than the sum of its proper divisors (568826000).

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

450566920 is a wasteful number, since it uses less digits than its factorization.

450566920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62425 (or 62421 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 450566920 is about 21226.5616622193. The cubic root of 450566920 is about 766.6311018999.

The spelling of 450566920 in words is "four hundred fifty million, five hundred sixty-six thousand, nine hundred twenty".