249083640 has 256 divisors, whose sum is σ = 907804800. Its totient is φ = 60383232.

The previous prime is 249083633. The next prime is 249083687. The reversal of 249083640 is 46380942.

It is a happy number.

249083640 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 8 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 249083595 and 249083604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1586442 + ... + 1586598.

Almost surely, 2^249083640 is an apocalyptic number.

249083640 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 249083640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453902400).

249083640 is an abundant number, since it is smaller than the sum of its proper divisors (658721160).

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

249083640 is a wasteful number, since it uses less digits than its factorization.

249083640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 249083640 is about 15782.3838503567. The cubic root of 249083640 is about 629.1898884363.

The spelling of 249083640 in words is "two hundred forty-nine million, eighty-three thousand, six hundred forty".