245216160 has 576 divisors, whose sum is σ = 1069915392. Its totient is φ = 51757056.

The previous prime is 245216159. The next prime is 245216171. The reversal of 245216160 is 61612542.

245216160 is a `hidden beast` number, since 2 + 45 + 2 + 1 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4626694 + ... + 4626746.

It is an arithmetic number, because the mean of its divisors is an integer number (1857492).

Almost surely, 2^245216160 is an apocalyptic number.

245216160 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 245216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534957696).

245216160 is an abundant number, since it is smaller than the sum of its proper divisors (824699232).

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

245216160 is a wasteful number, since it uses less digits than its factorization.

245216160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 245216160 is about 15659.3792980437. The cubic root of 245216160 is about 625.9164454143.

The spelling of 245216160 in words is "two hundred forty-five million, two hundred sixteen thousand, one hundred sixty".