252069840 has 240 divisors, whose sum is σ = 956456640. Its totient is φ = 60514560.

The previous prime is 252069833. The next prime is 252069847. The reversal of 252069840 is 48960252.

It is a happy number.

252069840 is a `hidden beast` number, since 2 + 520 + 6 + 98 + 40 = 666.

252069840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252069833) and next prime (252069847).

It is a tau number, because it is divible by the number of its divisors (240).

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 = 252069795 and 252069804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252069847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2447229 + ... + 2447331.

It is an arithmetic number, because the mean of its divisors is an integer number (3985236).

Almost surely, 2^252069840 is an apocalyptic number.

252069840 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 252069840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478228320).

252069840 is an abundant number, since it is smaller than the sum of its proper divisors (704386800).

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

252069840 is a wasteful number, since it uses less digits than its factorization.

252069840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 252069840 is about 15876.7074672301. The cubic root of 252069840 is about 631.6943055075.

The spelling of 252069840 in words is "two hundred fifty-two million, sixty-nine thousand, eight hundred forty".