249412240 has 160 divisors (see below), whose sum is σ = 761379840. Its totient is φ = 73612800.

The previous prime is 249412237. The next prime is 249412249. The reversal of 249412240 is 42214942.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 249412199 and 249412208.

It is not an unprimeable number, because it can be changed into a prime (249412249) 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, 115975 + ... + 118105.

It is an arithmetic number, because the mean of its divisors is an integer number (4758624).

Almost surely, 2^249412240 is an apocalyptic number.

249412240 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 249412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380689920).

249412240 is an abundant number, since it is smaller than the sum of its proper divisors (511967600).

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

249412240 is a wasteful number, since it uses less digits than its factorization.

249412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 249412240 is about 15792.7907603438. The cubic root of 249412240 is about 629.4664500841.

The spelling of 249412240 in words is "two hundred forty-nine million, four hundred twelve thousand, two hundred forty".