252444816 has 160 divisors (see below), whose sum is σ = 791616000. Its totient is φ = 76557312.

The previous prime is 252444793. The next prime is 252444817. The reversal of 252444816 is 618444252.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252444817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443380 + ... + 443948.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600).

Almost surely, 2^252444816 is an apocalyptic number.

252444816 is a gapful number since it is divisible by the number (26) 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 252444816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395808000).

252444816 is an abundant number, since it is smaller than the sum of its proper divisors (539171184).

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

252444816 is a wasteful number, since it uses less digits than its factorization.

252444816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 666 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 252444816 is about 15888.5120763399. The cubic root of 252444816 is about 632.0073838800.

The spelling of 252444816 in words is "two hundred fifty-two million, four hundred forty-four thousand, eight hundred sixteen".