295878960 has 320 divisors, whose sum is σ = 1128677760. Its totient is φ = 70778880.

The previous prime is 295878953. The next prime is 295878977. The reversal of 295878960 is 69878592.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 295878897 and 295878906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1151152 + ... + 1151408.

It is an arithmetic number, because the mean of its divisors is an integer number (3527118).

Almost surely, 2^295878960 is an apocalyptic number.

295878960 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 295878960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564338880).

295878960 is an abundant number, since it is smaller than the sum of its proper divisors (832798800).

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

295878960 is a wasteful number, since it uses less digits than its factorization.

295878960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 295878960 is about 17201.1325208545. The cubic root of 295878960 is about 666.3535173738.

It can be divided in two parts, 2958 and 78960, that added together give a palindrome (81918).

The spelling of 295878960 in words is "two hundred ninety-five million, eight hundred seventy-eight thousand, nine hundred sixty".