295425120 has 96 divisors (see below), whose sum is σ = 934053120. Its totient is φ = 78487040.

The previous prime is 295425083. The next prime is 295425149. The reversal of 295425120 is 21524592.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 148291 + ... + 150269.

It is an arithmetic number, because the mean of its divisors is an integer number (9729720).

Almost surely, 2^295425120 is an apocalyptic number.

295425120 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 295425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467026560).

295425120 is an abundant number, since it is smaller than the sum of its proper divisors (638628000).

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

295425120 is a wasteful number, since it uses less digits than its factorization.

295425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 295425120 is about 17187.9353035785. The cubic root of 295425120 is about 666.0126430339.

The spelling of 295425120 in words is "two hundred ninety-five million, four hundred twenty-five thousand, one hundred twenty".