452825100 has 576 divisors, whose sum is σ = 1905433600. Its totient is φ = 89579520.

The previous prime is 452825083. The next prime is 452825123. The reversal of 452825100 is 1528254.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4668252 + ... + 4668348.

Almost surely, 2^452825100 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 452825100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952716800).

452825100 is an abundant number, since it is smaller than the sum of its proper divisors (1452608500).

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

452825100 is a wasteful number, since it uses less digits than its factorization.

452825100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 452825100 is about 21279.6874977054. The cubic root of 452825100 is about 767.9097183913.

The spelling of 452825100 in words is "four hundred fifty-two million, eight hundred twenty-five thousand, one hundred".