252742032 has 200 divisors, whose sum is σ = 781408320. Its totient is φ = 78693120.

The previous prime is 252742031. The next prime is 252742051. The reversal of 252742032 is 230247252.

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

It is a junction number, because it is equal to n+sod(n) for n = 252741987 and 252742005.

It is not an unprimeable number, because it can be changed into a prime (252742031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1818219 + ... + 1818357.

Almost surely, 2^252742032 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 252742032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390704160).

252742032 is an abundant number, since it is smaller than the sum of its proper divisors (528666288).

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

252742032 is a wasteful number, since it uses less digits than its factorization.

252742032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 252742032 is about 15897.8624978328. The cubic root of 252742032 is about 632.2553179815.

Adding to 252742032 its reverse (230247252), we get a palindrome (482989284).

The spelling of 252742032 in words is "two hundred fifty-two million, seven hundred forty-two thousand, thirty-two".