295424064 has 112 divisors (see below), whose sum is σ = 935370240. Its totient is φ = 90892800.

The previous prime is 295424053. The next prime is 295424071. The reversal of 295424064 is 460424592.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15889 + ... + 29039.

It is an arithmetic number, because the mean of its divisors is an integer number (8351520).

Almost surely, 2^295424064 is an apocalyptic number.

295424064 is a gapful number since it is divisible by the number (24) 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 295424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467685120).

295424064 is an abundant number, since it is smaller than the sum of its proper divisors (639946176).

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

295424064 is a wasteful number, since it uses less digits than its factorization.

295424064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13185 (or 13169 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 295424064 is about 17187.9045843291. The cubic root of 295424064 is about 666.0118494767.

The spelling of 295424064 in words is "two hundred ninety-five million, four hundred twenty-four thousand, sixty-four".