452278400 has 192 divisors, whose sum is σ = 1301732160. Its totient is φ = 152064000.

The previous prime is 452278391. The next prime is 452278439. The reversal of 452278400 is 4872254.

It is a super-2 number, since 2×452278400² = 409111502213120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 23 ways as a sum of consecutive naturals, for example, 1366235 + ... + 1366565.

It is an arithmetic number, because the mean of its divisors is an integer number (6779855).

Almost surely, 2^452278400 is an apocalyptic number.

452278400 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 452278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650866080).

452278400 is an abundant number, since it is smaller than the sum of its proper divisors (849453760).

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

452278400 is a wasteful number, since it uses less digits than its factorization.

452278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 452278400 is about 21266.8380348372. The cubic root of 452278400 is about 767.6005590670.

The spelling of 452278400 in words is "four hundred fifty-two million, two hundred seventy-eight thousand, four hundred".