249143040 has 288 divisors, whose sum is σ = 905083200. Its totient is φ = 65691648.

The previous prime is 249143021. The next prime is 249143057. The reversal of 249143040 is 40341942.

249143040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×249143040⁴ (a number of 35 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 249142995 and 249143013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2799316 + ... + 2799404.

It is an arithmetic number, because the mean of its divisors is an integer number (3142650).

Almost surely, 2^249143040 is an apocalyptic number.

249143040 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 249143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452541600).

249143040 is an abundant number, since it is smaller than the sum of its proper divisors (655940160).

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

249143040 is an frugal number, since it uses more digits than its factorization.

249143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 249143040 is about 15784.2655831686. The cubic root of 249143040 is about 629.2398996278.

Adding to 249143040 its reverse (40341942), we get a palindrome (289484982).

The spelling of 249143040 in words is "two hundred forty-nine million, one hundred forty-three thousand, forty".