452384000 has 144 divisors (see below), whose sum is σ = 1149185856. Its totient is φ = 177408000.

The previous prime is 452383999. The next prime is 452384011. The reversal of 452384000 is 483254.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2143895 + ... + 2144105.

Almost surely, 2^452384000 is an apocalyptic number.

452384000 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 452384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574592928).

452384000 is an abundant number, since it is smaller than the sum of its proper divisors (696801856).

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

452384000 is an equidigital number, since it uses as much as digits as its factorization.

452384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 452384000 is about 21269.3206285485. The cubic root of 452384000 is about 767.6602953646.

The spelling of 452384000 in words is "four hundred fifty-two million, three hundred eighty-four thousand".