245869120 has 224 divisors, whose sum is σ = 724204800. Its totient is φ = 77635584.

The previous prime is 245869111. The next prime is 245869159. The reversal of 245869120 is 21968542.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 245869120.

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 31 ways as a sum of consecutive naturals, for example, 2255626 + ... + 2255734.

Almost surely, 2^245869120 is an apocalyptic number.

245869120 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 245869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362102400).

245869120 is an abundant number, since it is smaller than the sum of its proper divisors (478335680).

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

245869120 is a wasteful number, since it uses less digits than its factorization.

245869120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 245869120 is about 15680.2142842501. The cubic root of 245869120 is about 626.4715151102.

The spelling of 245869120 in words is "two hundred forty-five million, eight hundred sixty-nine thousand, one hundred twenty".