252901940 has 48 divisors (see below), whose sum is σ = 547404480. Its totient is φ = 98085120.

The previous prime is 252901939. The next prime is 252901949. The reversal of 252901940 is 49109252.

It is a junction number, because it is equal to n+sod(n) for n = 252901897 and 252901906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252901949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145919 + ... + 147641.

It is an arithmetic number, because the mean of its divisors is an integer number (11404260).

Almost surely, 2^252901940 is an apocalyptic number.

252901940 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 252901940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273702240).

252901940 is an abundant number, since it is smaller than the sum of its proper divisors (294502540).

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

252901940 is a wasteful number, since it uses less digits than its factorization.

252901940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 252901940 is about 15902.8909321544. The cubic root of 252901940 is about 632.3886309459.

The spelling of 252901940 in words is "two hundred fifty-two million, nine hundred one thousand, nine hundred forty".