252352944 has 60 divisors (see below), whose sum is σ = 713271312. Its totient is φ = 83280000.

The previous prime is 252352943. The next prime is 252352963. The reversal of 252352944 is 449253252.

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 = 252352899 and 252352908.

It is not an unprimeable number, because it can be changed into a prime (252352943) 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 11 ways as a sum of consecutive naturals, for example, 5869 + ... + 23219.

Almost surely, 2^252352944 is an apocalyptic number.

252352944 is a gapful number since it is divisible by the number (24) 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 252352944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356635656).

252352944 is an abundant number, since it is smaller than the sum of its proper divisors (460918368).

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

252352944 is a wasteful number, since it uses less digits than its factorization.

252352944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17466 (or 17457 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 252352944 is about 15885.6206677611. The cubic root of 252352944 is about 631.9307059636.

The spelling of 252352944 in words is "two hundred fifty-two million, three hundred fifty-two thousand, nine hundred forty-four".