450818244900 has 81 divisors (see below), whose sum is σ = 1413127882803. Its totient is φ = 120212827200.

The previous prime is 450818244883. The next prime is 450818244923. The reversal of 450818244900 is 9442818054.

The square root of 450818244900 is 671430.

It is a perfect power (a square), and thus also a powerful number.

450818244900 is a `hidden beast` number, since 4 + 5 + 0 + 81 + 82 + 4 + 490 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 652393764 + 450165851136 = 25542^2 + 670944^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20131710 + ... + 20154090.

Almost surely, 2^450818244900 is an apocalyptic number.

450818244900 is the 671430-th square number.

It is an amenable number.

450818244900 is an abundant number, since it is smaller than the sum of its proper divisors (962309637903).

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

450818244900 is an equidigital number, since it uses as much as digits as its factorization.

450818244900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44782 (or 22391 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 450818244900 in words is "four hundred fifty billion, eight hundred eighteen million, two hundred forty-four thousand, nine hundred".