450088560 has 120 divisors (see below), whose sum is σ = 1516376160. Its totient is φ = 119640576.

The previous prime is 450088523. The next prime is 450088567. The reversal of 450088560 is 65880054.

It is a happy number.

450088560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450088567) 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, 279277 + ... + 280883.

It is an arithmetic number, because the mean of its divisors is an integer number (12636468).

Almost surely, 2^450088560 is an apocalyptic number.

450088560 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 450088560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758188080).

450088560 is an abundant number, since it is smaller than the sum of its proper divisors (1066287600).

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

450088560 is a wasteful number, since it uses less digits than its factorization.

450088560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 450088560 is about 21215.2907121255. The cubic root of 450088560 is about 766.3596989950.

The spelling of 450088560 in words is "four hundred fifty million, eighty-eight thousand, five hundred sixty".