450560000 has 170 divisors, whose sum is σ = 1228397412. Its totient is φ = 163840000.

The previous prime is 450559981. The next prime is 450560017. The reversal of 450560000 is 65054.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40959995 + ... + 40960005.

Almost surely, 2^450560000 is an apocalyptic number.

450560000 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 450560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614198706).

450560000 is an abundant number, since it is smaller than the sum of its proper divisors (777837412).

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

450560000 is an frugal number, since it uses more digits than its factorization.

450560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 450560000 is about 21226.3986582746. The cubic root of 450560000 is about 766.6271771300.

The spelling of 450560000 in words is "four hundred fifty million, five hundred sixty thousand".