245893680 has 120 divisors (see below), whose sum is σ = 828638928. Its totient is φ = 65346048.

The previous prime is 245893679. The next prime is 245893699. The reversal of 245893680 is 86398542.

245893680 is a `hidden beast` number, since 2 + 4 + 589 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376234 + ... + 376886.

Almost surely, 2^245893680 is an apocalyptic number.

245893680 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 245893680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414319464).

245893680 is an abundant number, since it is smaller than the sum of its proper divisors (582745248).

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

245893680 is a wasteful number, since it uses less digits than its factorization.

245893680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 245893680 is about 15680.9974172563. The cubic root of 245893680 is about 626.4923739424.

The spelling of 245893680 in words is "two hundred forty-five million, eight hundred ninety-three thousand, six hundred eighty".