452908800 has 216 divisors, whose sum is σ = 1661404080. Its totient is φ = 120729600.

The previous prime is 452908793. The next prime is 452908861. The reversal of 452908800 is 8809254.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×452908800² = 410252762234880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171490 + ... + 174110.

Almost surely, 2^452908800 is an apocalyptic number.

452908800 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 452908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830702040).

452908800 is an abundant number, since it is smaller than the sum of its proper divisors (1208495280).

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

452908800 is a wasteful number, since it uses less digits than its factorization.

452908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 452908800 is about 21281.6540710538. The cubic root of 452908800 is about 767.9570288457.

The spelling of 452908800 in words is "four hundred fifty-two million, nine hundred eight thousand, eight hundred".