452832000 has 288 divisors, whose sum is σ = 1549679040. Its totient is φ = 117145600.

The previous prime is 452831999. The next prime is 452832001. The reversal of 452832000 is 238254.

It is an interprime number because it is at equal distance from previous prime (452831999) and next prime (452832001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (452832001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5087956 + ... + 5088044.

It is an arithmetic number, because the mean of its divisors is an integer number (5380830).

Almost surely, 2^452832000 is an apocalyptic number.

452832000 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 452832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774839520).

452832000 is an abundant number, since it is smaller than the sum of its proper divisors (1096847040).

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

452832000 is an equidigital number, since it uses as much as digits as its factorization.

452832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 452832000 is about 21279.8496235288. The cubic root of 452832000 is about 767.9136187568.

The spelling of 452832000 in words is "four hundred fifty-two million, eight hundred thirty-two thousand".