249764148 has 108 divisors (see below), whose sum is σ = 678950272. Its totient is φ = 80306640.

The previous prime is 249764131. The next prime is 249764149. The reversal of 249764148 is 841467942.

249764148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249764149) 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, 813411 + ... + 813717.

Almost surely, 2^249764148 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 249764148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339475136).

249764148 is an abundant number, since it is smaller than the sum of its proper divisors (429186124).

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

249764148 is an equidigital number, since it uses as much as digits as its factorization.

249764148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 343 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 249764148 is about 15803.9282458508. The cubic root of 249764148 is about 629.7623593511.

The spelling of 249764148 in words is "two hundred forty-nine million, seven hundred sixty-four thousand, one hundred forty-eight".