245617560 has 192 divisors, whose sum is σ = 849420000. Its totient is φ = 61378560.

The previous prime is 245617549. The next prime is 245617571. The reversal of 245617560 is 65716542.

It is a happy number.

245617560 is a `hidden beast` number, since 24 + 561 + 75 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (245617549) and next prime (245617571).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1019040 + ... + 1019280.

Almost surely, 2^245617560 is an apocalyptic number.

245617560 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 245617560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424710000).

245617560 is an abundant number, since it is smaller than the sum of its proper divisors (603802440).

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

245617560 is a wasteful number, since it uses less digits than its factorization.

245617560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 245617560 is about 15672.1906573395. The cubic root of 245617560 is about 626.2577849320.

The spelling of 245617560 in words is "two hundred forty-five million, six hundred seventeen thousand, five hundred sixty".