452520 has 64 divisors (see below), whose sum is σ = 1512000. Its totient is φ = 120384.

The previous prime is 452519. The next prime is 452521. The reversal of 452520 is 25254.

It is an interprime number because it is at equal distance from previous prime (452519) and next prime (452521).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 452493 and 452502.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 452520.

It is not an unprimeable number, because it can be changed into a prime (452521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 871 + ... + 1289.

It is an arithmetic number, because the mean of its divisors is an integer number (23625).

2⁴⁵²⁵²⁰ is an apocalyptic number.

452520 is a gapful number since it is divisible by the number (40) 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 452520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756000).

452520 is an abundant number, since it is smaller than the sum of its proper divisors (1059480).

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

452520 is a wasteful number, since it uses less digits than its factorization.

452520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 452520 is about 672.6960680724. The cubic root of 452520 is about 76.7737214781.

Adding to 452520 its reverse (25254), we get a palindrome (477774).

The spelling of 452520 in words is "four hundred fifty-two thousand, five hundred twenty".