295563840 has 224 divisors, whose sum is σ = 1102985856. Its totient is φ = 66109440.

The previous prime is 295563839. The next prime is 295563847. The reversal of 295563840 is 48365592.

295563840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 295563792 and 295563801.

It is not an unprimeable number, because it can be changed into a prime (295563847) 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 31 ways as a sum of consecutive naturals, for example, 136204 + ... + 138356.

It is an arithmetic number, because the mean of its divisors is an integer number (4924044).

Almost surely, 2^295563840 is an apocalyptic number.

295563840 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 295563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551492928).

295563840 is an abundant number, since it is smaller than the sum of its proper divisors (807422016).

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

295563840 is a wasteful number, since it uses less digits than its factorization.

295563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 295563840 is about 17191.9702186806. The cubic root of 295563840 is about 666.1168711564.

It can be divided in two parts, 2955 and 63840, that added together give a triangular number (66795 = T₃₆₅).

The spelling of 295563840 in words is "two hundred ninety-five million, five hundred sixty-three thousand, eight hundred forty".