450172800 has 864 divisors, whose sum is σ = 2108737800. Its totient is φ = 90316800.

The previous prime is 450172759. The next prime is 450172837. The reversal of 450172800 is 8271054.

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 15523186 + ... + 15523214.

Almost surely, 2^450172800 is an apocalyptic number.

450172800 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 450172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054368900).

450172800 is an abundant number, since it is smaller than the sum of its proper divisors (1658565000).

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

450172800 is a wasteful number, since it uses less digits than its factorization.

450172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 450172800 is about 21217.2759797293. The cubic root of 450172800 is about 766.4075074484.

The spelling of 450172800 in words is "four hundred fifty million, one hundred seventy-two thousand, eight hundred".