450097560 has 320 divisors, whose sum is σ = 1682635680. Its totient is φ = 106997760.

The previous prime is 450097553. The next prime is 450097573. The reversal of 450097560 is 65790054.

450097560 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 97 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2601634 + ... + 2601806.

Almost surely, 2^450097560 is an apocalyptic number.

450097560 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 450097560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841317840).

450097560 is an abundant number, since it is smaller than the sum of its proper divisors (1232538120).

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

450097560 is a wasteful number, since it uses less digits than its factorization.

450097560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 267 counting only the distinct ones).

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

The square root of 450097560 is about 21215.5028222288. The cubic root of 450097560 is about 766.3648070203.

The spelling of 450097560 in words is "four hundred fifty million, ninety-seven thousand, five hundred sixty".