249693840 has 400 divisors, whose sum is σ = 985222656. Its totient is φ = 58060800.

The previous prime is 249693827. The next prime is 249693853. The reversal of 249693840 is 48396942.

249693840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249693827) and next prime (249693853).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2209624 + ... + 2209736.

Almost surely, 2^249693840 is an apocalyptic number.

249693840 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 249693840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492611328).

249693840 is an abundant number, since it is smaller than the sum of its proper divisors (735528816).

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

249693840 is a wasteful number, since it uses less digits than its factorization.

249693840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 249693840 is about 15801.7037056135. The cubic root of 249693840 is about 629.7032616148.

The spelling of 249693840 in words is "two hundred forty-nine million, six hundred ninety-three thousand, eight hundred forty".