249712254 has 128 divisors (see below), whose sum is σ = 637009920. Its totient is φ = 71820000.

The previous prime is 249712189. The next prime is 249712271. The reversal of 249712254 is 452217942.

249712254 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (40320) is a multiple of the sum of its prime factors (315).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1307299 + ... + 1307489.

It is an arithmetic number, because the mean of its divisors is an integer number (4976640).

Almost surely, 2^249712254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249712254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318504960).

249712254 is an abundant number, since it is smaller than the sum of its proper divisors (387297666).

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

249712254 is a wasteful number, since it uses less digits than its factorization.

249712254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 249712254 is about 15802.2863535629. The cubic root of 249712254 is about 629.7187406655.

It can be divided in two parts, 24971 and 2254, that added together give a square (27225 = 165²).

The spelling of 249712254 in words is "two hundred forty-nine million, seven hundred twelve thousand, two hundred fifty-four".