249950140 has 48 divisors (see below), whose sum is σ = 575868384. Its totient is φ = 90374400.

The previous prime is 249950081. The next prime is 249950143. The reversal of 249950140 is 41059942.

249950140 = 4² + 5² + ... + 908².

It is a junction number, because it is equal to n+sod(n) for n = 249950096 and 249950105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249950143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36682 + ... + 42958.

It is an arithmetic number, because the mean of its divisors is an integer number (11997258).

Almost surely, 2^249950140 is an apocalyptic number.

249950140 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 249950140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287934192).

249950140 is an abundant number, since it is smaller than the sum of its proper divisors (325918244).

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

249950140 is a wasteful number, since it uses less digits than its factorization.

249950140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6478 (or 6476 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 249950140 is about 15809.8115105779. The cubic root of 249950140 is about 629.9186423873.

The spelling of 249950140 in words is "two hundred forty-nine million, nine hundred fifty thousand, one hundred forty".