245290760 has 256 divisors, whose sum is σ = 712454400. Its totient is φ = 74649600.

The previous prime is 245290757. The next prime is 245290763. The reversal of 245290760 is 67092542.

It is an interprime number because it is at equal distance from previous prime (245290757) and next prime (245290763).

It is a self number, because there is not a number n which added to its sum of digits gives 245290760.

It is not an unprimeable number, because it can be changed into a prime (245290763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4021130 + ... + 4021190.

It is an arithmetic number, because the mean of its divisors is an integer number (2783025).

Almost surely, 2^245290760 is an apocalyptic number.

245290760 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 245290760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356227200).

245290760 is an abundant number, since it is smaller than the sum of its proper divisors (467163640).

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

245290760 is a wasteful number, since it uses less digits than its factorization.

245290760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 245290760 is about 15661.7610759455. The cubic root of 245290760 is about 625.9799113683.

The spelling of 245290760 in words is "two hundred forty-five million, two hundred ninety thousand, seven hundred sixty".