249476544 has 112 divisors (see below), whose sum is σ = 746150400. Its totient is φ = 81715968.

The previous prime is 249476543. The next prime is 249476573. The reversal of 249476544 is 445674942.

It is a self number, because there is not a number n which added to its sum of digits gives 249476544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249476543) 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, 100729 + ... + 103175.

Almost surely, 2^249476544 is an apocalyptic number.

249476544 is a gapful number since it is divisible by the number (24) 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 249476544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373075200).

249476544 is an abundant number, since it is smaller than the sum of its proper divisors (496673856).

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

249476544 is a wasteful number, since it uses less digits than its factorization.

249476544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2511 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 249476544 is about 15794.8264947735. The cubic root of 249476544 is about 629.5205422336.

The spelling of 249476544 in words is "two hundred forty-nine million, four hundred seventy-six thousand, five hundred forty-four".