450079560 has 96 divisors (see below), whose sum is σ = 1671733440. Its totient is φ = 102874752.

The previous prime is 450079559. The next prime is 450079561. The reversal of 450079560 is 65970054.

450079560 is a `hidden beast` number, since 4 + 500 + 7 + 95 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (450079559) and next prime (450079561).

It is a super-2 number, since 2×450079560² = 405143220659587200, which contains 22 as substring.

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 (450079561) 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, 86782 + ... + 91821.

It is an arithmetic number, because the mean of its divisors is an integer number (17413890).

Almost surely, 2^450079560 is an apocalyptic number.

450079560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450079560 is an abundant number, since it is smaller than the sum of its proper divisors (1221653880).

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

450079560 is a wasteful number, since it uses less digits than its factorization.

450079560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178627 (or 178620 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 450079560 is about 21215.0785999015. The cubic root of 450079560 is about 766.3545909015.

The spelling of 450079560 in words is "four hundred fifty million, seventy-nine thousand, five hundred sixty".