249550938 has 96 divisors (see below), whose sum is σ = 674908416. Its totient is φ = 64882944.

The previous prime is 249550919. The next prime is 249550957. The reversal of 249550938 is 839055942.

249550938 is a `hidden beast` number, since 2 + 4 + 9 + 550 + 93 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (249550919) and next prime (249550957).

It is a junction number, because it is equal to n+sod(n) for n = 249550893 and 249550902.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118531 + ... + 120617.

It is an arithmetic number, because the mean of its divisors is an integer number (7030296).

Almost surely, 2^249550938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249550938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337454208).

249550938 is an abundant number, since it is smaller than the sum of its proper divisors (425357478).

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

249550938 is a wasteful number, since it uses less digits than its factorization.

249550938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 249550938 is about 15797.1813308577. The cubic root of 249550938 is about 629.5831104361.

The spelling of 249550938 in words is "two hundred forty-nine million, five hundred fifty thousand, nine hundred thirty-eight".