249538716 has 144 divisors (see below), whose sum is σ = 788336640. Its totient is φ = 64903680.

The previous prime is 249538673. The next prime is 249538721. The reversal of 249538716 is 617835942.

249538716 is a `hidden beast` number, since 2 + 49 + 538 + 71 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131865 + ... + 133743.

It is an arithmetic number, because the mean of its divisors is an integer number (5474560).

Almost surely, 2^249538716 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 249538716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394168320).

249538716 is an abundant number, since it is smaller than the sum of its proper divisors (538797924).

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

249538716 is a wasteful number, since it uses less digits than its factorization.

249538716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1939 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 249538716 is about 15796.7944849580. The cubic root of 249538716 is about 629.5728321199.

The spelling of 249538716 in words is "two hundred forty-nine million, five hundred thirty-eight thousand, seven hundred sixteen".