252954144 has 144 divisors (see below), whose sum is σ = 779617440. Its totient is φ = 79781760.

The previous prime is 252954113. The next prime is 252954227. The reversal of 252954144 is 441459252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 252954099 and 252954108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311499 + ... + 312309.

It is an arithmetic number, because the mean of its divisors is an integer number (5414010).

Almost surely, 2^252954144 is an apocalyptic number.

252954144 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 252954144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389808720).

252954144 is an abundant number, since it is smaller than the sum of its proper divisors (526663296).

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

252954144 is a wasteful number, since it uses less digits than its factorization.

252954144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 835 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 252954144 is about 15904.5321842549. The cubic root of 252954144 is about 632.4321404907.

The spelling of 252954144 in words is "two hundred fifty-two million, nine hundred fifty-four thousand, one hundred forty-four".