249191040 has 128 divisors (see below), whose sum is σ = 907816320. Its totient is φ = 56954880.

The previous prime is 249191029. The next prime is 249191057. The reversal of 249191040 is 40191942.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 249190989 and 249191007.

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 15 ways as a sum of consecutive naturals, for example, 4170 + ... + 22710.

It is an arithmetic number, because the mean of its divisors is an integer number (7092315).

Almost surely, 2^249191040 is an apocalyptic number.

249191040 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 249191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453908160).

249191040 is an abundant number, since it is smaller than the sum of its proper divisors (658625280).

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

249191040 is a wasteful number, since it uses less digits than its factorization.

249191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18570 (or 18558 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 249191040 is about 15785.7860114725. The cubic root of 249191040 is about 629.2803069051.

The spelling of 249191040 in words is "two hundred forty-nine million, one hundred ninety-one thousand, forty".