452527152 has 120 divisors (see below), whose sum is σ = 1483601472. Its totient is φ = 117532800.

The previous prime is 452527151. The next prime is 452527169. The reversal of 452527152 is 251725254.

It is a super-2 number, since 2×452527152² = 409561646594462208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (452527151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17127 + ... + 34617.

Almost surely, 2^452527152 is an apocalyptic number.

452527152 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 452527152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741800736).

452527152 is an abundant number, since it is smaller than the sum of its proper divisors (1031074320).

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

452527152 is a wasteful number, since it uses less digits than its factorization.

452527152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17527 (or 17514 counting only the distinct ones).

The product of its digits is 28000, while the sum is 33.

The square root of 452527152 is about 21272.6855850407. The cubic root of 452527152 is about 767.7412594108.

The spelling of 452527152 in words is "four hundred fifty-two million, five hundred twenty-seven thousand, one hundred fifty-two".