295428960 has 144 divisors (see below), whose sum is σ = 1014328224. Its totient is φ = 78299136.

The previous prime is 295428949. The next prime is 295428983. The reversal of 295428960 is 69824592.

295428960 is a `hidden beast` number, since 29 + 542 + 89 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277389 + ... + 278451.

It is an arithmetic number, because the mean of its divisors is an integer number (7043946).

Almost surely, 2^295428960 is an apocalyptic number.

295428960 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 295428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507164112).

295428960 is an abundant number, since it is smaller than the sum of its proper divisors (718899264).

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

295428960 is a wasteful number, since it uses less digits than its factorization.

295428960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 295428960 is about 17188.0470094773. The cubic root of 295428960 is about 666.0155286805.

The spelling of 295428960 in words is "two hundred ninety-five million, four hundred twenty-eight thousand, nine hundred sixty".