249170040 has 256 divisors, whose sum is σ = 991180800. Its totient is φ = 54438912.

The previous prime is 249170023. The next prime is 249170069. The reversal of 249170040 is 40071942.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 249169986 and 249170013.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 173164 + ... + 174596.

It is an arithmetic number, because the mean of its divisors is an integer number (3871800).

Almost surely, 2^249170040 is an apocalyptic number.

249170040 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 249170040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495590400).

249170040 is an abundant number, since it is smaller than the sum of its proper divisors (742010760).

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

249170040 is a wasteful number, since it uses less digits than its factorization.

249170040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 249170040 is about 15785.1208421095. The cubic root of 249170040 is about 629.2626293598.

The spelling of 249170040 in words is "two hundred forty-nine million, one hundred seventy thousand, forty".