249748128 has 216 divisors, whose sum is σ = 843399648. Its totient is φ = 68656896.

The previous prime is 249748127. The next prime is 249748159. The reversal of 249748128 is 821847942.

249748128 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 nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (249748127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3727551 + ... + 3727617.

It is an arithmetic number, because the mean of its divisors is an integer number (3904628).

Almost surely, 2^249748128 is an apocalyptic number.

249748128 is a gapful number since it is divisible by the number (28) 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 249748128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421699824).

249748128 is an abundant number, since it is smaller than the sum of its proper divisors (593651520).

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

249748128 is a wasteful number, since it uses less digits than its factorization.

249748128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 122 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 249748128 is about 15803.4214017092. The cubic root of 249748128 is about 629.7488946367.

It can be divided in two parts, 2497 and 48128, that added together give a 4-th power (50625 = 15⁴).

The spelling of 249748128 in words is "two hundred forty-nine million, seven hundred forty-eight thousand, one hundred twenty-eight".