245977560 has 240 divisors, whose sum is σ = 865101600. Its totient is φ = 62674560.

The previous prime is 245977541. The next prime is 245977603. The reversal of 245977560 is 65779542.

245977560 is a `hidden beast` number, since 2 + 4 + 597 + 7 + 56 + 0 = 666.

245977560 is digitally balanced in base 2 and base 3, because in such bases 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3113601 + ... + 3113679.

It is an arithmetic number, because the mean of its divisors is an integer number (3604590).

Almost surely, 2^245977560 is an apocalyptic number.

245977560 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 245977560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432550800).

245977560 is an abundant number, since it is smaller than the sum of its proper divisors (619124040).

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

245977560 is a wasteful number, since it uses less digits than its factorization.

245977560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 245977560 is about 15683.6717639716. The cubic root of 245977560 is about 626.5636028384.

The spelling of 245977560 in words is "two hundred forty-five million, nine hundred seventy-seven thousand, five hundred sixty".