245967288 has 128 divisors (see below), whose sum is σ = 755205120. Its totient is φ = 65157120.

The previous prime is 245967287. The next prime is 245967343. The reversal of 245967288 is 882769542.

245967288 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 245967288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245967287) 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, 202170 + ... + 203382.

It is an arithmetic number, because the mean of its divisors is an integer number (5900040).

Almost surely, 2^245967288 is an apocalyptic number.

245967288 is a gapful number since it is divisible by the number (28) 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 245967288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377602560).

245967288 is an abundant number, since it is smaller than the sum of its proper divisors (509237832).

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

245967288 is a wasteful number, since it uses less digits than its factorization.

245967288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1313 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 245967288 is about 15683.3442862165. The cubic root of 245967288 is about 626.5548809711.

The spelling of 245967288 in words is "two hundred forty-five million, nine hundred sixty-seven thousand, two hundred eighty-eight".