295252480 has 160 divisors (see below), whose sum is σ = 757920240. Its totient is φ = 110100480.

The previous prime is 295252421. The next prime is 295252501. The reversal of 295252480 is 84252592.

It can be written as a sum of positive squares in 8 ways, for example, as 48888064 + 246364416 = 6992^2 + 15696^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3043792 + ... + 3043888.

Almost surely, 2^295252480 is an apocalyptic number.

295252480 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 295252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378960120).

295252480 is an abundant number, since it is smaller than the sum of its proper divisors (462667760).

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

295252480 is an equidigital number, since it uses as much as digits as its factorization.

295252480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 295252480 is about 17182.9124423073. The cubic root of 295252480 is about 665.8828833311.

The spelling of 295252480 in words is "two hundred ninety-five million, two hundred fifty-two thousand, four hundred eighty".