452083632 has 240 divisors, whose sum is σ = 1584398592. Its totient is φ = 107274240.

The previous prime is 452083613. The next prime is 452083637. The reversal of 452083632 is 236380254.

It is a happy number.

It is a super-2 number, since 2×452083632² = 408759220644622848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 452083593 and 452083602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452083637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4660608 + ... + 4660704.

Almost surely, 2^452083632 is an apocalyptic number.

452083632 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 452083632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792199296).

452083632 is an abundant number, since it is smaller than the sum of its proper divisors (1132314960).

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

452083632 is a wasteful number, since it uses less digits than its factorization.

452083632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 452083632 is about 21262.2583936890. The cubic root of 452083632 is about 767.4903574070.

The spelling of 452083632 in words is "four hundred fifty-two million, eighty-three thousand, six hundred thirty-two".