452634000 has 320 divisors, whose sum is σ = 1798218240. Its totient is φ = 95385600.

The previous prime is 452633999. The next prime is 452634019. The reversal of 452634000 is 436254.

452634000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 545586 + ... + 546414.

It is an arithmetic number, because the mean of its divisors is an integer number (5619432).

Almost surely, 2^452634000 is an apocalyptic number.

452634000 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 452634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899109120).

452634000 is an abundant number, since it is smaller than the sum of its proper divisors (1345584240).

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

452634000 is a wasteful number, since it uses less digits than its factorization.

452634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 452634000 is about 21275.1968263516. The cubic root of 452634000 is about 767.8016794779.

The spelling of 452634000 in words is "four hundred fifty-two million, six hundred thirty-four thousand".