249123840 has 264 divisors, whose sum is σ = 929698272. Its totient is φ = 56770560.

The previous prime is 249123827. The next prime is 249123841. The reversal of 249123840 is 48321942.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249123841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 752475 + ... + 752805.

Almost surely, 2^249123840 is an apocalyptic number.

249123840 is a gapful number since it is divisible by the number (20) 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 249123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464849136).

249123840 is an abundant number, since it is smaller than the sum of its proper divisors (680574432).

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

249123840 is a wasteful number, since it uses less digits than its factorization.

249123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 249123840 is about 15783.6573708377. The cubic root of 249123840 is about 629.2237352637.

The spelling of 249123840 in words is "two hundred forty-nine million, one hundred twenty-three thousand, eight hundred forty".