249851040 has 192 divisors, whose sum is σ = 847615104. Its totient is φ = 61636608.

The previous prime is 249851033. The next prime is 249851053. The reversal of 249851040 is 40158942.

It is a junction number, because it is equal to n+sod(n) for n = 249850992 and 249851010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546492 + ... + 546948.

It is an arithmetic number, because the mean of its divisors is an integer number (4414662).

Almost surely, 2^249851040 is an apocalyptic number.

249851040 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 249851040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423807552).

249851040 is an abundant number, since it is smaller than the sum of its proper divisors (597764064).

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

249851040 is a wasteful number, since it uses less digits than its factorization.

249851040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 249851040 is about 15806.6770701498. The cubic root of 249851040 is about 629.8353815293.

The spelling of 249851040 in words is "two hundred forty-nine million, eight hundred fifty-one thousand, forty".