450460980 has 96 divisors (see below), whose sum is σ = 1462406400. Its totient is φ = 114897024.

The previous prime is 450460963. The next prime is 450461017. The reversal of 450460980 is 89064054.

450460980 is a `hidden beast` number, since 4 + 504 + 60 + 98 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5715 + ... + 30554.

It is an arithmetic number, because the mean of its divisors is an integer number (15233400).

Almost surely, 2^450460980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450460980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731203200).

450460980 is an abundant number, since it is smaller than the sum of its proper divisors (1011945420).

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

450460980 is a wasteful number, since it uses less digits than its factorization.

450460980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36310 (or 36302 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 450460980 is about 21224.0660571908. The cubic root of 450460980 is about 766.5710122206.

The spelling of 450460980 in words is "four hundred fifty million, four hundred sixty thousand, nine hundred eighty".