452916800 has 252 divisors, whose sum is σ = 1332989460. Its totient is φ = 150958080.

The previous prime is 452916773. The next prime is 452916811. The reversal of 452916800 is 8619254.

It can be written as a sum of positive squares in 6 ways, for example, as 2458624 + 450458176 = 1568^2 + 21224^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4155146 + ... + 4155254.

Almost surely, 2^452916800 is an apocalyptic number.

452916800 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 452916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666494730).

452916800 is an abundant number, since it is smaller than the sum of its proper divisors (880072660).

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

452916800 is a wasteful number, since it uses less digits than its factorization.

452916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 452916800 is about 21281.8420255390. The cubic root of 452916800 is about 767.9615504478.

The spelling of 452916800 in words is "four hundred fifty-two million, nine hundred sixteen thousand, eight hundred".