249942040 has 16 divisors (see below), whose sum is σ = 562369680. Its totient is φ = 99976800.

The previous prime is 249942037. The next prime is 249942059. The reversal of 249942040 is 40249942.

249942040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 249941987 and 249942005.

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 3 ways as a sum of consecutive naturals, for example, 3124236 + ... + 3124315.

It is an arithmetic number, because the mean of its divisors is an integer number (35148105).

Almost surely, 2^249942040 is an apocalyptic number.

249942040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249942040 is an abundant number, since it is smaller than the sum of its proper divisors (312427640).

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

249942040 is a wasteful number, since it uses less digits than its factorization.

249942040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6248562 (or 6248558 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 249942040 is about 15809.5553384654. Note that the first 3 decimals coincide. The cubic root of 249942040 is about 629.9118378353.

The spelling of 249942040 in words is "two hundred forty-nine million, nine hundred forty-two thousand, forty".