452853072 has 320 divisors, whose sum is σ = 1645608960. Its totient is φ = 116176896.

The previous prime is 452853061. The next prime is 452853097. The reversal of 452853072 is 270358254.

452853072 is a `hidden beast` number, since 4 + 52 + 8 + 530 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1182193 + ... + 1182575.

It is an arithmetic number, because the mean of its divisors is an integer number (5142528).

Almost surely, 2^452853072 is an apocalyptic number.

452853072 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 452853072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822804480).

452853072 is an abundant number, since it is smaller than the sum of its proper divisors (1192755888).

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

452853072 is a wasteful number, since it uses less digits than its factorization.

452853072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 452853072 is about 21280.3447340498. The cubic root of 452853072 is about 767.9255298885.

It can be divided in two parts, 4528 and 53072, that added together give a square (57600 = 240²).

The spelling of 452853072 in words is "four hundred fifty-two million, eight hundred fifty-three thousand, seventy-two".