252444001440 has 192 divisors, whose sum is σ = 800534472192. Its totient is φ = 66867609600.

The previous prime is 252444001421. The next prime is 252444001441. The reversal of 252444001440 is 44100444252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 252444001398 and 252444001407.

It is not an unprimeable number, because it can be changed into a prime (252444001441) 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, 134923705 + ... + 134925575.

It is an arithmetic number, because the mean of its divisors is an integer number (4169450376).

Almost surely, 2^252444001440 is an apocalyptic number.

252444001440 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 252444001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400267236096).

252444001440 is an abundant number, since it is smaller than the sum of its proper divisors (548090470752).

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

252444001440 is a wasteful number, since it uses less digits than its factorization.

252444001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3623 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 252444001440 its reverse (44100444252), we get a palindrome (296544445692).

The spelling of 252444001440 in words is "two hundred fifty-two billion, four hundred forty-four million, one thousand, four hundred forty".