249261376 has 112 divisors (see below), whose sum is σ = 615387136. Its totient is φ = 97542144.

The previous prime is 249261329. The next prime is 249261391. The reversal of 249261376 is 673162942.

It is a happy number.

249261376 is digitally balanced in base 3, 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 (112).

Its product of digits (108864) is a multiple of the sum of its prime divisors (486).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739480 + ... + 739816.

It is an arithmetic number, because the mean of its divisors is an integer number (5494528).

Almost surely, 2^249261376 is an apocalyptic number.

249261376 is a gapful number since it is divisible by the number (26) 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 249261376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307693568).

249261376 is an abundant number, since it is smaller than the sum of its proper divisors (366125760).

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

249261376 is a wasteful number, since it uses less digits than its factorization.

249261376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 486 counting only the distinct ones).

The product of its digits is 108864, while the sum is 40.

The square root of 249261376 is about 15788.0136812710. The cubic root of 249261376 is about 629.3395076639.

The spelling of 249261376 in words is "two hundred forty-nine million, two hundred sixty-one thousand, three hundred seventy-six".