249574016 has 32 divisors (see below), whose sum is σ = 502348980. Its totient is φ = 123494400.

The previous prime is 249574007. The next prime is 249574037. The reversal of 249574016 is 610475942.

249574016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 246615616 + 2958400 = 15704^2 + 1720^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2366 + ... + 22466.

Almost surely, 2^249574016 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 249574016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251174490).

249574016 is an abundant number, since it is smaller than the sum of its proper divisors (252774964).

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

249574016 is an equidigital number, since it uses as much as digits as its factorization.

249574016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20212 (or 20200 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 249574016 is about 15797.9117607360. The cubic root of 249574016 is about 629.6025173907.

The spelling of 249574016 in words is "two hundred forty-nine million, five hundred seventy-four thousand, sixteen".