252289440 has 144 divisors (see below), whose sum is σ = 927232488. Its totient is φ = 62097408.

The previous prime is 252289403. The next prime is 252289463. The reversal of 252289440 is 44982252.

252289440 is a `hidden beast` number, since 2 + 522 + 8 + 94 + 40 = 666.

252289440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 180311184 + 71978256 = 13428^2 + 8484^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 252289395 and 252289404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11982 + ... + 25458.

Almost surely, 2^252289440 is an apocalyptic number.

252289440 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 252289440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463616244).

252289440 is an abundant number, since it is smaller than the sum of its proper divisors (674943048).

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

252289440 is a wasteful number, since it uses less digits than its factorization.

252289440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13511 (or 13500 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 252289440 is about 15883.6217532400. The cubic root of 252289440 is about 631.8776935786.

The spelling of 252289440 in words is "two hundred fifty-two million, two hundred eighty-nine thousand, four hundred forty".