249734016 has 384 divisors, whose sum is σ = 902952960. Its totient is φ = 67184640.

The previous prime is 249734011. The next prime is 249734027. The reversal of 249734016 is 610437942.

249734016 is a `hidden beast` number, since 249 + 7 + 3 + 401 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249734011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6749550 + ... + 6749586.

It is an arithmetic number, because the mean of its divisors is an integer number (2351440).

Almost surely, 2^249734016 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 249734016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451476480).

249734016 is an abundant number, since it is smaller than the sum of its proper divisors (653218944).

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

249734016 is an equidigital number, since it uses as much as digits as its factorization.

249734016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 80 counting only the distinct ones).

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

The square root of 249734016 is about 15802.9749098073. The cubic root of 249734016 is about 629.7370331080.

The spelling of 249734016 in words is "two hundred forty-nine million, seven hundred thirty-four thousand, sixteen".