245652960 has 192 divisors, whose sum is σ = 893555712. Its totient is φ = 55566336.

The previous prime is 245652929. The next prime is 245652961. The reversal of 245652960 is 69256542.

245652960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245652961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379357 + ... + 380003.

It is an arithmetic number, because the mean of its divisors is an integer number (4653936).

Almost surely, 2^245652960 is an apocalyptic number.

245652960 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 245652960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446777856).

245652960 is an abundant number, since it is smaller than the sum of its proper divisors (647902752).

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

245652960 is a wasteful number, since it uses less digits than its factorization.

245652960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 245652960 is about 15673.3200056657. The cubic root of 245652960 is about 626.2878702682.

The spelling of 245652960 in words is "two hundred forty-five million, six hundred fifty-two thousand, nine hundred sixty".