249263616 has 160 divisors (see below), whose sum is σ = 769950720. Its totient is φ = 70189056.

The previous prime is 249263587. The next prime is 249263687. The reversal of 249263616 is 616362942.

249263616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×249263616² = 124264700522790912, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1042825 + ... + 1043063.

It is an arithmetic number, because the mean of its divisors is an integer number (4812192).

Almost surely, 2^249263616 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 249263616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384975360).

249263616 is an abundant number, since it is smaller than the sum of its proper divisors (520687104).

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

249263616 is an equidigital number, since it uses as much as digits as its factorization.

249263616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 348 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 249263616 is about 15788.0846210045. The cubic root of 249263616 is about 629.3413928554.

The spelling of 249263616 in words is "two hundred forty-nine million, two hundred sixty-three thousand, six hundred sixteen".