452052000 has 288 divisors, whose sum is σ = 1663487280. Its totient is φ = 116121600.

The previous prime is 452051993. The next prime is 452052011. The reversal of 452052000 is 250254.

It can be written as a sum of positive squares in 8 ways, for example, as 404496 + 451647504 = 636^2 + 21252^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1043784 + ... + 1044216.

Almost surely, 2^452052000 is an apocalyptic number.

452052000 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 452052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831743640).

452052000 is an abundant number, since it is smaller than the sum of its proper divisors (1211435280).

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

452052000 is a wasteful number, since it uses less digits than its factorization.

452052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 452052000 is about 21261.5145274273. The cubic root of 452052000 is about 767.4724567211.

The spelling of 452052000 in words is "four hundred fifty-two million, fifty-two thousand".