295538880 has 448 divisors, whose sum is σ = 1228953600. Its totient is φ = 58392576.

The previous prime is 295538879. The next prime is 295538899. The reversal of 295538880 is 88835592.

295538880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1485021 + ... + 1485219.

It is an arithmetic number, because the mean of its divisors is an integer number (2743200).

Almost surely, 2^295538880 is an apocalyptic number.

295538880 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 295538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614476800).

295538880 is an abundant number, since it is smaller than the sum of its proper divisors (933414720).

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

295538880 is a wasteful number, since it uses less digits than its factorization.

295538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The square root of 295538880 is about 17191.2442830646. The cubic root of 295538880 is about 666.0981197138.

The spelling of 295538880 in words is "two hundred ninety-five million, five hundred thirty-eight thousand, eight hundred eighty".