245146680 has 96 divisors (see below), whose sum is σ = 800195760. Its totient is φ = 65088000.

The previous prime is 245146679. The next prime is 245146691. The reversal of 245146680 is 86641542.

245146680 is a `hidden beast` number, since 2 + 4 + 514 + 66 + 80 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89004 + ... + 91716.

Almost surely, 2^245146680 is an apocalyptic number.

245146680 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 245146680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400097880).

245146680 is an abundant number, since it is smaller than the sum of its proper divisors (555049080).

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

245146680 is a wasteful number, since it uses less digits than its factorization.

245146680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 245146680 is about 15657.1606621379. The cubic root of 245146680 is about 625.8573237226.

The spelling of 245146680 in words is "two hundred forty-five million, one hundred forty-six thousand, six hundred eighty".