295224480 has 192 divisors, whose sum is σ = 1061786880. Its totient is φ = 76557312.

The previous prime is 295224473. The next prime is 295224487. The reversal of 295224480 is 84422592.

It is an interprime number because it is at equal distance from previous prime (295224473) and next prime (295224487).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (295224487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158917 + ... + 160763.

It is an arithmetic number, because the mean of its divisors is an integer number (5530140).

Almost surely, 2^295224480 is an apocalyptic number.

295224480 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 295224480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530893440).

295224480 is an abundant number, since it is smaller than the sum of its proper divisors (766562400).

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

295224480 is a wasteful number, since it uses less digits than its factorization.

295224480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 295224480 is about 17182.0976600647. The cubic root of 295224480 is about 665.8618332001.

The spelling of 295224480 in words is "two hundred ninety-five million, two hundred twenty-four thousand, four hundred eighty".