249746016 has 48 divisors (see below), whose sum is σ = 706016304. Its totient is φ = 76844544.

The previous prime is 249746011. The next prime is 249746027. The reversal of 249746016 is 610647942.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249746011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98811 + ... + 101306.

It is an arithmetic number, because the mean of its divisors is an integer number (14708673).

Almost surely, 2^249746016 is an apocalyptic number.

249746016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

249746016 is an abundant number, since it is smaller than the sum of its proper divisors (456270288).

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

249746016 is a wasteful number, since it uses less digits than its factorization.

249746016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200143 (or 200135 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 249746016 is about 15803.3545805946. The cubic root of 249746016 is about 629.7471194704.

The spelling of 249746016 in words is "two hundred forty-nine million, seven hundred forty-six thousand, sixteen".