450164800 has 42 divisors (see below), whose sum is σ = 1107690698. Its totient is φ = 180065280.

The previous prime is 450164797. The next prime is 450164837. The reversal of 450164800 is 8461054.

It can be written as a sum of positive squares in 3 ways, for example, as 16192576 + 433972224 = 4024^2 + 20832^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139077 + ... + 142276.

Almost surely, 2^450164800 is an apocalyptic number.

450164800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450164800 is an abundant number, since it is smaller than the sum of its proper divisors (657525898).

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

450164800 is a wasteful number, since it uses less digits than its factorization.

450164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281375 (or 281360 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 450164800 is about 21217.0874532769. The cubic root of 450164800 is about 766.4029674907.

The spelling of 450164800 in words is "four hundred fifty million, one hundred sixty-four thousand, eight hundred".