252684768 has 72 divisors (see below), whose sum is σ = 771605352. Its totient is φ = 72194304.

The previous prime is 252684767. The next prime is 252684769. The reversal of 252684768 is 867486252.

It is an interprime number because it is at equal distance from previous prime (252684767) and next prime (252684769).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252684767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22155 + ... + 31562.

It is an arithmetic number, because the mean of its divisors is an integer number (10716741).

Almost surely, 2^252684768 is an apocalyptic number.

252684768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

252684768 is an abundant number, since it is smaller than the sum of its proper divisors (518920584).

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

252684768 is a wasteful number, since it uses less digits than its factorization.

252684768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53744 (or 53729 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 252684768 is about 15896.0613989755. The cubic root of 252684768 is about 632.2075641473.

The spelling of 252684768 in words is "two hundred fifty-two million, six hundred eighty-four thousand, seven hundred sixty-eight".