249379240 has 64 divisors (see below), whose sum is σ = 618528960. Its totient is φ = 89733120.

The previous prime is 249379217. The next prime is 249379259. The reversal of 249379240 is 42973942.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 249379193 and 249379202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39759 + ... + 45601.

It is an arithmetic number, because the mean of its divisors is an integer number (9664515).

Almost surely, 2^249379240 is an apocalyptic number.

249379240 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 249379240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309264480).

249379240 is an abundant number, since it is smaller than the sum of its proper divisors (369149720).

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

249379240 is a wasteful number, since it uses less digits than its factorization.

249379240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5962 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 249379240 is about 15791.7459452715. The cubic root of 249379240 is about 629.4386870667.

The spelling of 249379240 in words is "two hundred forty-nine million, three hundred seventy-nine thousand, two hundred forty".