249613488 has 240 divisors, whose sum is σ = 794393600. Its totient is φ = 75582720.

The previous prime is 249613487. The next prime is 249613501. The reversal of 249613488 is 884316942.

It is a happy number.

249613488 is a `hidden beast` number, since 24 + 9 + 613 + 4 + 8 + 8 = 666.

It is a super-2 number, since 2×249613488² = 124613786783052288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249613487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2289978 + ... + 2290086.

Almost surely, 2^249613488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249613488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397196800).

249613488 is an abundant number, since it is smaller than the sum of its proper divisors (544780112).

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

249613488 is a wasteful number, since it uses less digits than its factorization.

249613488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 164 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 249613488 is about 15799.1609903817. The cubic root of 249613488 is about 629.6357077590.

The spelling of 249613488 in words is "two hundred forty-nine million, six hundred thirteen thousand, four hundred eighty-eight".