252267834 has 128 divisors (see below), whose sum is σ = 650280960. Its totient is φ = 63475200.

The previous prime is 252267833. The next prime is 252267853. The reversal of 252267834 is 438762252.

252267834 = 407² + 408² + ... + 937².

252267834 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 252267792 and 252267801.

It is not an unprimeable number, because it can be changed into a prime (252267833) 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, 1320679 + ... + 1320869.

It is an arithmetic number, because the mean of its divisors is an integer number (5080320).

Almost surely, 2^252267834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252267834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325140480).

252267834 is an abundant number, since it is smaller than the sum of its proper divisors (398013126).

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

252267834 is a wasteful number, since it uses less digits than its factorization.

252267834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316.

The product of its digits is 161280, while the sum is 39.

The square root of 252267834 is about 15882.9416041236. The cubic root of 252267834 is about 631.8596551182.

The spelling of 252267834 in words is "two hundred fifty-two million, two hundred sixty-seven thousand, eight hundred thirty-four".