245910720 has 336 divisors, whose sum is σ = 899952480. Its totient is φ = 56770560.

The previous prime is 245910719. The next prime is 245910727. The reversal of 245910720 is 27019542.

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

It is not an unprimeable number, because it can be changed into a prime (245910727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3368604 + ... + 3368676.

It is an arithmetic number, because the mean of its divisors is an integer number (2678430).

Almost surely, 2^245910720 is an apocalyptic number.

245910720 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 245910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449976240).

245910720 is an abundant number, since it is smaller than the sum of its proper divisors (654041760).

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

245910720 is a wasteful number, since it uses less digits than its factorization.

245910720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 245910720 is about 15681.5407406288. The cubic root of 245910720 is about 626.5068452151.

The spelling of 245910720 in words is "two hundred forty-five million, nine hundred ten thousand, seven hundred twenty".