249801840 has 160 divisors (see below), whose sum is σ = 869140800. Its totient is φ = 65940480.

The previous prime is 249801829. The next prime is 249801847. The reversal of 249801840 is 48108942.

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 = 249801795 and 249801804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249801847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234910 + ... + 235970.

It is an arithmetic number, because the mean of its divisors is an integer number (5432130).

Almost surely, 2^249801840 is an apocalyptic number.

249801840 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 249801840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434570400).

249801840 is an abundant number, since it is smaller than the sum of its proper divisors (619338960).

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

249801840 is a wasteful number, since it uses less digits than its factorization.

249801840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 249801840 is about 15805.1206891944. The cubic root of 249801840 is about 629.7940369812.

The spelling of 249801840 in words is "two hundred forty-nine million, eight hundred one thousand, eight hundred forty".