420480450 has 288 divisors, whose sum is σ = 1334289600. Its totient is φ = 97044480.

The previous prime is 420480443. The next prime is 420480481. The reversal of 420480450 is 54084024.

420480450 = 28² + 29² + ... + 1080².

420480450 is a `hidden beast` number, since 4 + 204 + 8 + 0 + 450 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4334802 + ... + 4334898.

It is an arithmetic number, because the mean of its divisors is an integer number (4632950).

Almost surely, 2^420480450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420480450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667144800).

420480450 is an abundant number, since it is smaller than the sum of its proper divisors (913809150).

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

420480450 is a wasteful number, since it uses less digits than its factorization.

420480450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 420480450 is about 20505.6199613667. The cubic root of 420480450 is about 749.1726877415.

The spelling of 420480450 in words is "four hundred twenty million, four hundred eighty thousand, four hundred fifty".