249392544 has 48 divisors (see below), whose sum is σ = 658028448. Its totient is φ = 82702592.

The previous prime is 249392531. The next prime is 249392569. The reversal of 249392544 is 445293942.

249392544 is digitally balanced in base 3, 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 (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 249392496 and 249392505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12319 + ... + 25505.

It is an arithmetic number, because the mean of its divisors is an integer number (13708926).

Almost surely, 2^249392544 is an apocalyptic number.

249392544 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 249392544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329014224).

249392544 is an abundant number, since it is smaller than the sum of its proper divisors (408635904).

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

249392544 is a wasteful number, since it uses less digits than its factorization.

249392544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13397 (or 13389 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 249392544 is about 15792.1671723674. The cubic root of 249392544 is about 629.4498800639.

The spelling of 249392544 in words is "two hundred forty-nine million, three hundred ninety-two thousand, five hundred forty-four".