252443520 has 256 divisors, whose sum is σ = 1022284800. Its totient is φ = 57673728.

The previous prime is 252443467. The next prime is 252443531. The reversal of 252443520 is 25344252.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119917 + ... + 122003.

It is an arithmetic number, because the mean of its divisors is an integer number (3993300).

Almost surely, 2^252443520 is an apocalyptic number.

252443520 is a gapful number since it is divisible by the number (20) 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 252443520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511142400).

252443520 is an abundant number, since it is smaller than the sum of its proper divisors (769841280).

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

252443520 is a wasteful number, since it uses less digits than its factorization.

252443520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 252443520 is about 15888.4712921036. The cubic root of 252443520 is about 632.0063023460.

Adding to 252443520 its reverse (25344252), we get a palindrome (277787772).

The spelling of 252443520 in words is "two hundred fifty-two million, four hundred forty-three thousand, five hundred twenty".