245609280 has 448 divisors, whose sum is σ = 1029980160. Its totient is φ = 53913600.

The previous prime is 245609279. The next prime is 245609347. The reversal of 245609280 is 82906542.

It is a happy number.

245609280 is a `hidden beast` number, since 2 + 4 + 560 + 92 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 1874815 + ... + 1874945.

Almost surely, 2^245609280 is an apocalyptic number.

245609280 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 245609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514990080).

245609280 is an abundant number, since it is smaller than the sum of its proper divisors (784370880).

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

245609280 is a wasteful number, since it uses less digits than its factorization.

245609280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 245609280 is about 15671.9264929363. The cubic root of 245609280 is about 626.2507476057.

The spelling of 245609280 in words is "two hundred forty-five million, six hundred nine thousand, two hundred eighty".