252428544 has 81 divisors (see below), whose sum is σ = 730019199. Its totient is φ = 83888640.

The previous prime is 252428531. The next prime is 252428549. The reversal of 252428544 is 445824252.

The square root of 252428544 is 15888.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 252428499 and 252428508.

It is not an unprimeable number, because it can be changed into a prime (252428549) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 762459 + ... + 762789.

Almost surely, 2^252428544 is an apocalyptic number.

252428544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

252428544 is the 15888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252428544

252428544 is an abundant number, since it is smaller than the sum of its proper divisors (477590655).

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

252428544 is an frugal number, since it uses more digits than its factorization.

252428544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 336 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

The cubic root of 252428544 is about 631.9938043509.

Multiplying 252428544 by its sum of digits (36), we get a square (9087427584 = 95328²).

252428544 divided by its sum of digits (36) gives a square (7011904 = 2648²).

Multiplying 252428544 by its product of digits (102400), we get a square (25848682905600 = 5084160²).

The spelling of 252428544 in words is "two hundred fifty-two million, four hundred twenty-eight thousand, five hundred forty-four".