252706440 has 128 divisors (see below), whose sum is σ = 881280000. Its totient is φ = 56771328.

The previous prime is 252706439. The next prime is 252706453. The reversal of 252706440 is 44607252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 252706398 and 252706407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47011 + ... + 52109.

It is an arithmetic number, because the mean of its divisors is an integer number (6885000).

Almost surely, 2^252706440 is an apocalyptic number.

252706440 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 252706440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440640000).

252706440 is an abundant number, since it is smaller than the sum of its proper divisors (628573560).

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

252706440 is a wasteful number, since it uses less digits than its factorization.

252706440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5179 (or 5175 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 252706440 is about 15896.7430626528. The cubic root of 252706440 is about 632.2256378006.

The spelling of 252706440 in words is "two hundred fifty-two million, seven hundred six thousand, four hundred forty".