450638280 has 144 divisors (see below), whose sum is σ = 1501641180. Its totient is φ = 117202176.

The previous prime is 450638263. The next prime is 450638299. The reversal of 450638280 is 82836054.

It can be written as a sum of positive squares in 2 ways, for example, as 415425924 + 35212356 = 20382^2 + 5934^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 665302 + ... + 665978.

Almost surely, 2^450638280 is an apocalyptic number.

450638280 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 450638280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750820590).

450638280 is an abundant number, since it is smaller than the sum of its proper divisors (1051002900).

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

450638280 is a wasteful number, since it uses less digits than its factorization.

450638280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 450638280 is about 21228.2425085074. The cubic root of 450638280 is about 766.6715723274.

The spelling of 450638280 in words is "four hundred fifty million, six hundred thirty-eight thousand, two hundred eighty".