249835152 has 80 divisors (see below), whose sum is σ = 744872960. Its totient is φ = 70678656.

The previous prime is 249835141. The next prime is 249835207. The reversal of 249835152 is 251538942.

It is a self number, because there is not a number n which added to its sum of digits gives 249835152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30999 + ... + 38217.

It is an arithmetic number, because the mean of its divisors is an integer number (9310912).

Almost surely, 2^249835152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249835152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372436480).

249835152 is an abundant number, since it is smaller than the sum of its proper divisors (495037808).

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

249835152 is a wasteful number, since it uses less digits than its factorization.

249835152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7340 (or 7334 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 249835152 is about 15806.1744897366. The cubic root of 249835152 is about 629.8220308589.

It can be divided in two parts, 24983 and 5152, that added together give a triangular number (30135 = T₂₄₅).

The spelling of 249835152 in words is "two hundred forty-nine million, eight hundred thirty-five thousand, one hundred fifty-two".