245930880 has 256 divisors, whose sum is σ = 863654400. Its totient is φ = 59154432.

The previous prime is 245930879. The next prime is 245930887. The reversal of 245930880 is 88039542.

245930880 = 334² + 335² + ... + 918².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245930887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1472557 + ... + 1472723.

It is an arithmetic number, because the mean of its divisors is an integer number (3373650).

Almost surely, 2^245930880 is an apocalyptic number.

245930880 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 245930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431827200).

245930880 is an abundant number, since it is smaller than the sum of its proper divisors (617723520).

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

245930880 is a wasteful number, since it uses less digits than its factorization.

245930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 245930880 is about 15682.1835214360. The cubic root of 245930880 is about 626.5239652941.

The spelling of 245930880 in words is "two hundred forty-five million, nine hundred thirty thousand, eight hundred eighty".