452524032 has 72 divisors (see below), whose sum is σ = 1307025720. Its totient is φ = 150835200.

The previous prime is 452524021. The next prime is 452524043. The reversal of 452524032 is 230425254.

It is a happy number.

452524032 is a `hidden beast` number, since 4 + 5 + 252 + 403 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (452524021) and next prime (452524043).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 452523987 and 452524005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6157 + ... + 30707.

It is an arithmetic number, because the mean of its divisors is an integer number (18153135).

Almost surely, 2^452524032 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 452524032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653512860).

452524032 is an abundant number, since it is smaller than the sum of its proper divisors (854501688).

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

452524032 is a wasteful number, since it uses less digits than its factorization.

452524032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24579 (or 24556 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 452524032 is about 21272.6122514373. The cubic root of 452524032 is about 767.7394949802.

Adding to 452524032 its reverse (230425254), we get a palindrome (682949286).

It can be divided in two parts, 45252 and 4032, that added together give a square (49284 = 222²).

The spelling of 452524032 in words is "four hundred fifty-two million, five hundred twenty-four thousand, thirty-two".