450160560 has 120 divisors (see below), whose sum is σ = 1537557840. Its totient is φ = 117997056.

The previous prime is 450160553. The next prime is 450160567. The reversal of 450160560 is 65061054.

It is a happy number.

450160560 is a `hidden beast` number, since 4 + 50 + 1 + 605 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (450160553) and next prime (450160567).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (450160567) 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, 37182 + ... + 47778.

It is an arithmetic number, because the mean of its divisors is an integer number (12812982).

Almost surely, 2^450160560 is an apocalyptic number.

450160560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450160560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768778920).

450160560 is an abundant number, since it is smaller than the sum of its proper divisors (1087397280).

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

450160560 is a wasteful number, since it uses less digits than its factorization.

450160560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10675 (or 10666 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 450160560 is about 21216.9875335779. The cubic root of 450160560 is about 766.4005612913.

The spelling of 450160560 in words is "four hundred fifty million, one hundred sixty thousand, five hundred sixty".