452648100 has 72 divisors (see below), whose sum is σ = 1340157280. Its totient is φ = 117895680.

The previous prime is 452648087. The next prime is 452648123. The reversal of 452648100 is 1846254.

It is a super-2 number, since 2×452648100² = 409780604867220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4645 + ... + 30444.

Almost surely, 2^452648100 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 452648100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670078640).

452648100 is an abundant number, since it is smaller than the sum of its proper divisors (887509180).

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

452648100 is a wasteful number, since it uses less digits than its factorization.

452648100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35149 (or 35142 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 452648100 is about 21275.5281955584. The cubic root of 452648100 is about 767.8096519908.

The spelling of 452648100 in words is "four hundred fifty-two million, six hundred forty-eight thousand, one hundred".