249090240 has 224 divisors, whose sum is σ = 915277824. Its totient is φ = 56217600.

The previous prime is 249090217. The next prime is 249090241. The reversal of 249090240 is 42090942.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 249090198 and 249090207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249090241) 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, 678537 + ... + 678903.

Almost surely, 2^249090240 is an apocalyptic number.

249090240 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 249090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457638912).

249090240 is an abundant number, since it is smaller than the sum of its proper divisors (666187584).

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

249090240 is a wasteful number, since it uses less digits than its factorization.

249090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 249090240 is about 15782.5929428595. The cubic root of 249090240 is about 629.1954456279.

It can be divided in two parts, 2490902 and 40, that added together give a palindrome (2490942).

The spelling of 249090240 in words is "two hundred forty-nine million, ninety thousand, two hundred forty".