295085952 has 384 divisors, whose sum is σ = 1064194560. Its totient is φ = 76640256.

The previous prime is 295085951. The next prime is 295085953. The reversal of 295085952 is 259580592.

295085952 is a `hidden beast` number, since 2 + 9 + 50 + 8 + 595 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (295085951) and next prime (295085953).

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 295085898 and 295085907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (295085951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6862443 + ... + 6862485.

It is an arithmetic number, because the mean of its divisors is an integer number (2771340).

Almost surely, 2^295085952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 295085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532097280).

295085952 is an abundant number, since it is smaller than the sum of its proper divisors (769108608).

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

295085952 is a wasteful number, since it uses less digits than its factorization.

295085952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 295085952 is about 17178.0660145431. The cubic root of 295085952 is about 665.7576695942.

The spelling of 295085952 in words is "two hundred ninety-five million, eighty-five thousand, nine hundred fifty-two".