245028960 has 288 divisors, whose sum is σ = 943488000. Its totient is φ = 57369600.

The previous prime is 245028943. The next prime is 245028967. The reversal of 245028960 is 69820542.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245028967) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 490791 + ... + 491289.

It is an arithmetic number, because the mean of its divisors is an integer number (3276000).

Almost surely, 2^245028960 is an apocalyptic number.

245028960 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 245028960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744000).

245028960 is an abundant number, since it is smaller than the sum of its proper divisors (698459040).

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

245028960 is a wasteful number, since it uses less digits than its factorization.

245028960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 551 counting only the distinct ones).

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

The square root of 245028960 is about 15653.4009084288. The cubic root of 245028960 is about 625.7571283071.

The spelling of 245028960 in words is "two hundred forty-five million, twenty-eight thousand, nine hundred sixty".