452052 has 36 divisors (see below), whose sum is σ = 1184820. Its totient is φ = 145152.

The previous prime is 452041. The next prime is 452077. The reversal of 452052 is 250254.

It can be written as a sum of positive squares in 2 ways, for example, as 133956 + 318096 = 366^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 828 + ... + 1260.

2⁴⁵²⁰⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592410).

452052 is an abundant number, since it is smaller than the sum of its proper divisors (732768).

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

452052 is a wasteful number, since it uses less digits than its factorization.

452052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 467 counting only the distinct ones).

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

The square root of 452052 is about 672.3481241143. The cubic root of 452052 is about 76.7472456721.

The spelling of 452052 in words is "four hundred fifty-two thousand, fifty-two".