245772960 has 192 divisors, whose sum is σ = 812851200. Its totient is φ = 62346240.

The previous prime is 245772949. The next prime is 245772979. The reversal of 245772960 is 69277542.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1234941 + ... + 1235139.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2^245772960 is an apocalyptic number.

245772960 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 245772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406425600).

245772960 is an abundant number, since it is smaller than the sum of its proper divisors (567078240).

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

245772960 is a wasteful number, since it uses less digits than its factorization.

245772960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 245772960 is about 15677.1476997571. The cubic root of 245772960 is about 626.3898329587.

The spelling of 245772960 in words is "two hundred forty-five million, seven hundred seventy-two thousand, nine hundred sixty".