252486640 has 80 divisors (see below), whose sum is σ = 700098048. Its totient is φ = 82798848.

The previous prime is 252486613. The next prime is 252486643. The reversal of 252486640 is 46684252.

252486640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 252486640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252486643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3079 + ... + 22681.

Almost surely, 2^252486640 is an apocalyptic number.

252486640 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 252486640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350049024).

252486640 is an abundant number, since it is smaller than the sum of its proper divisors (447611408).

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

252486640 is a wasteful number, since it uses less digits than its factorization.

252486640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19646 (or 19640 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 252486640 is about 15889.8281929038. The cubic root of 252486640 is about 632.0422847316.

The spelling of 252486640 in words is "two hundred fifty-two million, four hundred eighty-six thousand, six hundred forty".