252427680 has 144 divisors (see below), whose sum is σ = 865728864. Its totient is φ = 66977280.

The previous prime is 252427667. The next prime is 252427709. The reversal of 252427680 is 86724252.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441795 + ... + 442365.

It is an arithmetic number, because the mean of its divisors is an integer number (6012006).

Almost surely, 2^252427680 is an apocalyptic number.

252427680 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 252427680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432864432).

252427680 is an abundant number, since it is smaller than the sum of its proper divisors (613301184).

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

252427680 is a wasteful number, since it uses less digits than its factorization.

252427680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 252427680 is about 15887.9728096444. The cubic root of 252427680 is about 631.9930832977.

The spelling of 252427680 in words is "two hundred fifty-two million, four hundred twenty-seven thousand, six hundred eighty".