450931200 has 120 divisors (see below), whose sum is σ = 1489749888. Its totient is φ = 120238080.

The previous prime is 450931193. The next prime is 450931211. The reversal of 450931200 is 2139054.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32529 + ... + 44271.

Almost surely, 2^450931200 is an apocalyptic number.

450931200 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 450931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744874944).

450931200 is an abundant number, since it is smaller than the sum of its proper divisors (1038818688).

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

450931200 is a wasteful number, since it uses less digits than its factorization.

450931200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11774 (or 11753 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 450931200 is about 21235.1406870781. The cubic root of 450931200 is about 766.8376514245.

The spelling of 450931200 in words is "four hundred fifty million, nine hundred thirty-one thousand, two hundred".