245768040 has 512 divisors, whose sum is σ = 1036800000. Its totient is φ = 50512896.

The previous prime is 245768009. The next prime is 245768051. The reversal of 245768040 is 40867542.

245768040 is a `hidden beast` number, since 2 + 4 + 576 + 80 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 245767986 and 245768004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4165531 + ... + 4165589.

It is an arithmetic number, because the mean of its divisors is an integer number (2025000).

Almost surely, 2^245768040 is an apocalyptic number.

245768040 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 245768040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518400000).

245768040 is an abundant number, since it is smaller than the sum of its proper divisors (791031960).

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

245768040 is a wasteful number, since it uses less digits than its factorization.

245768040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 245768040 is about 15676.9907826725. The cubic root of 245768040 is about 626.3856531410.

The spelling of 245768040 in words is "two hundred forty-five million, seven hundred sixty-eight thousand, forty".