249005040 has 80 divisors (see below), whose sum is σ = 777140736. Its totient is φ = 65952000.

The previous prime is 249005033. The next prime is 249005041. The reversal of 249005040 is 40500942.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 249005040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249005041) 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, 32805 + ... + 39675.

Almost surely, 2^249005040 is an apocalyptic number.

249005040 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 249005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388570368).

249005040 is an abundant number, since it is smaller than the sum of its proper divisors (528135696).

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

249005040 is a wasteful number, since it uses less digits than its factorization.

249005040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7038 (or 7032 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 249005040 is about 15779.8935357625. The cubic root of 249005040 is about 629.1236997884.

Adding to 249005040 its reverse (40500942), we get a palindrome (289505982).

The spelling of 249005040 in words is "two hundred forty-nine million, five thousand, forty".