245935872 has 576 divisors, whose sum is σ = 988968960. Its totient is φ = 58392576.

The previous prime is 245935841. The next prime is 245935919. The reversal of 245935872 is 278539542.

245935872 is a `hidden beast` number, since 2 + 4 + 593 + 58 + 7 + 2 = 666.

245935872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10692853 + ... + 10692875.

It is an arithmetic number, because the mean of its divisors is an integer number (1716960).

Almost surely, 2^245935872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245935872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494484480).

245935872 is an abundant number, since it is smaller than the sum of its proper divisors (743033088).

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

245935872 is a wasteful number, since it uses less digits than its factorization.

245935872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 65 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 245935872 is about 15682.3426821378. The cubic root of 245935872 is about 626.5282044072.

The spelling of 245935872 in words is "two hundred forty-five million, nine hundred thirty-five thousand, eight hundred seventy-two".