249467616 has 144 divisors (see below), whose sum is σ = 747674928. Its totient is φ = 78796800.

The previous prime is 249467597. The next prime is 249467651. The reversal of 249467616 is 616764942.

249467616 is a `hidden beast` number, since 24 + 9 + 4 + 6 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436611 + ... + 437181.

It is an arithmetic number, because the mean of its divisors is an integer number (5192187).

Almost surely, 2^249467616 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 249467616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373837464).

249467616 is an abundant number, since it is smaller than the sum of its proper divisors (498207312).

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

249467616 is a wasteful number, since it uses less digits than its factorization.

249467616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 654 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 249467616 is about 15794.5438680577. The cubic root of 249467616 is about 629.5130326078.

The spelling of 249467616 in words is "two hundred forty-nine million, four hundred sixty-seven thousand, six hundred sixteen".