452039952 has 160 divisors (see below), whose sum is σ = 1476627712. Its totient is φ = 115955712.

The previous prime is 452039941. The next prime is 452039969. The reversal of 452039952 is 259930254.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 452039952.

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 31 ways as a sum of consecutive naturals, for example, 160218 + ... + 163014.

Almost surely, 2^452039952 is an apocalyptic number.

452039952 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 452039952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738313856).

452039952 is an abundant number, since it is smaller than the sum of its proper divisors (1024587760).

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

452039952 is a wasteful number, since it uses less digits than its factorization.

452039952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 452039952 is about 21261.2311967111. The cubic root of 452039952 is about 767.4656384861.

It can be divided in two parts, 45203 and 9952, that added together give a palindrome (55155).

The spelling of 452039952 in words is "four hundred fifty-two million, thirty-nine thousand, nine hundred fifty-two".