249731064 has 192 divisors, whose sum is σ = 778377600. Its totient is φ = 71635200.

The previous prime is 249731051. The next prime is 249731077. The reversal of 249731064 is 460137942.

It is an interprime number because it is at equal distance from previous prime (249731051) and next prime (249731077).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1906279 + ... + 1906409.

It is an arithmetic number, because the mean of its divisors is an integer number (4054050).

Almost surely, 2^249731064 is an apocalyptic number.

249731064 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 249731064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389188800).

249731064 is an abundant number, since it is smaller than the sum of its proper divisors (528646536).

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

249731064 is a wasteful number, since it uses less digits than its factorization.

249731064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 249731064 is about 15802.8815093957. The cubic root of 249731064 is about 629.7345518133.

The spelling of 249731064 in words is "two hundred forty-nine million, seven hundred thirty-one thousand, sixty-four".