245681280 has 384 divisors, whose sum is σ = 972382320. Its totient is φ = 56623104.

The previous prime is 245681209. The next prime is 245681311. The reversal of 245681280 is 82186542.

245681280 is a `hidden beast` number, since 2 + 4 + 568 + 12 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 63107136 + 182574144 = 7944^2 + 13512^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1272864 + ... + 1273056.

Almost surely, 2^245681280 is an apocalyptic number.

245681280 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 245681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486191160).

245681280 is an abundant number, since it is smaller than the sum of its proper divisors (726701040).

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

245681280 is a wasteful number, since it uses less digits than its factorization.

245681280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 245681280 is about 15674.2234257395. The cubic root of 245681280 is about 626.3119364562.

The spelling of 245681280 in words is "two hundred forty-five million, six hundred eighty-one thousand, two hundred eighty".