252437328 has 360 divisors, whose sum is σ = 892067904. Its totient is φ = 65894400.

The previous prime is 252437327. The next prime is 252437407. The reversal of 252437328 is 823734252.

252437328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 252437292 and 252437301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252437327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6156988 + ... + 6157028.

Almost surely, 2^252437328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252437328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446033952).

252437328 is an abundant number, since it is smaller than the sum of its proper divisors (639630576).

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

252437328 is a wasteful number, since it uses less digits than its factorization.

252437328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 252437328 is about 15888.2764326405. The cubic root of 252437328 is about 632.0011349656.

It can be divided in two parts, 252 and 437328, that added together give a triangular number (437580 = T₉₃₅).

The spelling of 252437328 in words is "two hundred fifty-two million, four hundred thirty-seven thousand, three hundred twenty-eight".