252271740 has 192 divisors, whose sum is σ = 860912640. Its totient is φ = 53913600.

The previous prime is 252271739. The next prime is 252271741. The reversal of 252271740 is 47172252.

It is an interprime number because it is at equal distance from previous prime (252271739) and next prime (252271741).

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 = 252271698 and 252271707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252271741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 805824 + ... + 806136.

It is an arithmetic number, because the mean of its divisors is an integer number (4483920).

Almost surely, 2^252271740 is an apocalyptic number.

252271740 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 252271740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430456320).

252271740 is an abundant number, since it is smaller than the sum of its proper divisors (608640900).

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

252271740 is a wasteful number, since it uses less digits than its factorization.

252271740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 252271740 is about 15883.0645657568. The cubic root of 252271740 is about 631.8629162436.

The spelling of 252271740 in words is "two hundred fifty-two million, two hundred seventy-one thousand, seven hundred forty".