450544080 has 320 divisors, whose sum is σ = 1695891456. Its totient is φ = 96768000.

The previous prime is 450544069. The next prime is 450544097. The reversal of 450544080 is 80445054.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2135175 + ... + 2135385.

Almost surely, 2^450544080 is an apocalyptic number.

450544080 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 450544080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847945728).

450544080 is an abundant number, since it is smaller than the sum of its proper divisors (1245347376).

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

450544080 is a wasteful number, since it uses less digits than its factorization.

450544080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 450544080 is about 21226.0236502271. The cubic root of 450544080 is about 766.6181477382.

The spelling of 450544080 in words is "four hundred fifty million, five hundred forty-four thousand, eighty".