452678400 has 324 divisors, whose sum is σ = 1680413280. Its totient is φ = 116121600.

The previous prime is 452678393. The next prime is 452678411. The reversal of 452678400 is 4876254.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1670265 + ... + 1670535.

Almost surely, 2^452678400 is an apocalyptic number.

452678400 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 452678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840206640).

452678400 is an abundant number, since it is smaller than the sum of its proper divisors (1227734880).

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

452678400 is a wasteful number, since it uses less digits than its factorization.

452678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 452678400 is about 21276.2402693709. The cubic root of 452678400 is about 767.8267838521.

The spelling of 452678400 in words is "four hundred fifty-two million, six hundred seventy-eight thousand, four hundred".