245932960 has 288 divisors, whose sum is σ = 772208640. Its totient is φ = 73156608.

The previous prime is 245932909. The next prime is 245932961. The reversal of 245932960 is 69239542.

245932960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (245932961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1936417 + ... + 1936543.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 2^245932960 is an apocalyptic number.

245932960 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 245932960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386104320).

245932960 is an abundant number, since it is smaller than the sum of its proper divisors (526275680).

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

245932960 is a wasteful number, since it uses less digits than its factorization.

245932960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 245932960 is about 15682.2498385914. The cubic root of 245932960 is about 626.5257315982.

The spelling of 245932960 in words is "two hundred forty-five million, nine hundred thirty-two thousand, nine hundred sixty".