452836800 has 504 divisors, whose sum is σ = 1805665680. Its totient is φ = 106905600.

The previous prime is 452836789. The next prime is 452836801. The reversal of 452836800 is 8638254.

It is a super-2 number, since 2×452836800² = 410122334868480000, 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 not an unprimeable number, because it can be changed into a prime (452836801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7675171 + ... + 7675229.

It is an arithmetic number, because the mean of its divisors is an integer number (3582670).

Almost surely, 2^452836800 is an apocalyptic number.

452836800 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 452836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902832840).

452836800 is an abundant number, since it is smaller than the sum of its proper divisors (1352828880).

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

452836800 is a wasteful number, since it uses less digits than its factorization.

452836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 452836800 is about 21279.9624059818. The cubic root of 452836800 is about 767.9163320312.

It can be divided in two parts, 4528 and 36800, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 452836800 in words is "four hundred fifty-two million, eight hundred thirty-six thousand, eight hundred".