249500160 has 720 divisors, whose sum is σ = 1146161016. Its totient is φ = 49545216.

The previous prime is 249500149. The next prime is 249500189. The reversal of 249500160 is 61005942.

It can be written as a sum of positive squares in 4 ways, for example, as 189778176 + 59721984 = 13776^2 + 7728^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14676472 + ... + 14676488.

Almost surely, 2^249500160 is an apocalyptic number.

249500160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573080508).

249500160 is an abundant number, since it is smaller than the sum of its proper divisors (896660856).

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

249500160 is a wasteful number, since it uses less digits than its factorization.

249500160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 249500160 is about 15795.5740636420. The cubic root of 249500160 is about 629.5404055412.

The spelling of 249500160 in words is "two hundred forty-nine million, five hundred thousand, one hundred sixty".