245817120 has 96 divisors (see below), whose sum is σ = 778921920. Its totient is φ = 65162240.

The previous prime is 245817107. The next prime is 245817139. The reversal of 245817120 is 21718542.

245817120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84490 + ... + 87350.

It is an arithmetic number, because the mean of its divisors is an integer number (8113770).

Almost surely, 2^245817120 is an apocalyptic number.

245817120 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 245817120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389460960).

245817120 is an abundant number, since it is smaller than the sum of its proper divisors (533104800).

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

245817120 is a wasteful number, since it uses less digits than its factorization.

245817120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 245817120 is about 15678.5560559638. The cubic root of 245817120 is about 626.4273468746.

The spelling of 245817120 in words is "two hundred forty-five million, eight hundred seventeen thousand, one hundred twenty".