295788240 has 320 divisors, whose sum is σ = 1135641600. Its totient is φ = 70156800.

The previous prime is 295788221. The next prime is 295788281. The reversal of 295788240 is 42887592.

295788240 is digitally balanced in base 3, because in such base 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 (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1401735 + ... + 1401945.

It is an arithmetic number, because the mean of its divisors is an integer number (3548880).

Almost surely, 2^295788240 is an apocalyptic number.

295788240 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 295788240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567820800).

295788240 is an abundant number, since it is smaller than the sum of its proper divisors (839853360).

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

295788240 is a wasteful number, since it uses less digits than its factorization.

295788240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 295788240 is about 17198.4952830182. The cubic root of 295788240 is about 666.2854064470.

The spelling of 295788240 in words is "two hundred ninety-five million, seven hundred eighty-eight thousand, two hundred forty".