249129216 has 288 divisors, whose sum is σ = 889548800. Its totient is φ = 67184640.

The previous prime is 249129191. The next prime is 249129269. The reversal of 249129216 is 612921942.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919161 + ... + 919431.

Almost surely, 2^249129216 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 249129216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444774400).

249129216 is an abundant number, since it is smaller than the sum of its proper divisors (640419584).

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

249129216 is a wasteful number, since it uses less digits than its factorization.

249129216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 302 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 249129216 is about 15783.8276726528. The cubic root of 249129216 is about 629.2282613693.

The spelling of 249129216 in words is "two hundred forty-nine million, one hundred twenty-nine thousand, two hundred sixteen".