252775040 has 128 divisors (see below), whose sum is σ = 731462400. Its totient is φ = 81543168.

The previous prime is 252774931. The next prime is 252775051. The reversal of 252775040 is 40577252.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 252774988 and 252775006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74501 + ... + 77819.

It is an arithmetic number, because the mean of its divisors is an integer number (5714550).

Almost surely, 2^252775040 is an apocalyptic number.

252775040 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 252775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365731200).

252775040 is an abundant number, since it is smaller than the sum of its proper divisors (478687360).

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

252775040 is a wasteful number, since it uses less digits than its factorization.

252775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 252775040 is about 15898.9005909214. The cubic root of 252775040 is about 632.2828408736.

The spelling of 252775040 in words is "two hundred fifty-two million, seven hundred seventy-five thousand, forty".