249840780 has 144 divisors (see below), whose sum is σ = 827447040. Its totient is φ = 55175040.

The previous prime is 249840769. The next prime is 249840809. The reversal of 249840780 is 87048942.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403311 + ... + 403929.

It is an arithmetic number, because the mean of its divisors is an integer number (5746160).

Almost surely, 2^249840780 is an apocalyptic number.

249840780 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 249840780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413723520).

249840780 is an abundant number, since it is smaller than the sum of its proper divisors (577606260).

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

249840780 is a wasteful number, since it uses less digits than its factorization.

249840780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 249840780 is about 15806.3525204267. The cubic root of 249840780 is about 629.8267601263.

The spelling of 249840780 in words is "two hundred forty-nine million, eight hundred forty thousand, seven hundred eighty".