295416352 has 96 divisors (see below), whose sum is σ = 732219264. Its totient is φ = 113971200.

The previous prime is 295416349. The next prime is 295416353. The reversal of 295416352 is 253614592.

295416352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (295416353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277902 + ... + 278962.

It is an arithmetic number, because the mean of its divisors is an integer number (7627284).

Almost surely, 2^295416352 is an apocalyptic number.

295416352 is a gapful number since it is divisible by the number (22) 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 295416352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366109632).

295416352 is an abundant number, since it is smaller than the sum of its proper divisors (436802912).

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

295416352 is a wasteful number, since it uses less digits than its factorization.

295416352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1194 counting only the distinct ones).

The product of its digits is 64800, while the sum is 37.

The square root of 295416352 is about 17187.6802390549. The cubic root of 295416352 is about 666.0060540471.

It can be divided in two parts, 2954 and 16352, that added together give a triangular number (19306 = T₁₉₆).

The spelling of 295416352 in words is "two hundred ninety-five million, four hundred sixteen thousand, three hundred fifty-two".