452825352 has 96 divisors (see below), whose sum is σ = 1414183680. Its totient is φ = 128217600.

The previous prime is 452825333. The next prime is 452825353. The reversal of 452825352 is 253528254.

It is a happy number.

452825352 is a `hidden beast` number, since 45 + 2 + 82 + 535 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (452825353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52977 + ... + 60927.

It is an arithmetic number, because the mean of its divisors is an integer number (14731080).

Almost surely, 2^452825352 is an apocalyptic number.

452825352 is a gapful number since it is divisible by the number (42) 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 452825352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707091840).

452825352 is an abundant number, since it is smaller than the sum of its proper divisors (961358328).

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

452825352 is a wasteful number, since it uses less digits than its factorization.

452825352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8083 (or 8076 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 452825352 is about 21279.6934188442. The cubic root of 452825352 is about 767.9098608402.

The spelling of 452825352 in words is "four hundred fifty-two million, eight hundred twenty-five thousand, three hundred fifty-two".