295742720 has 144 divisors (see below), whose sum is σ = 872215680. Its totient is φ = 93560832.

The previous prime is 295742719. The next prime is 295742723. The reversal of 295742720 is 27247592.

It is a super-3 number, since 3×295742720³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (295742723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115211 + ... + 117749.

Almost surely, 2^295742720 is an apocalyptic number.

295742720 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 295742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436107840).

295742720 is an abundant number, since it is smaller than the sum of its proper divisors (576472960).

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

295742720 is a wasteful number, since it uses less digits than its factorization.

295742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 295742720 is about 17197.1718605124. The cubic root of 295742720 is about 666.2512256113.

The spelling of 295742720 in words is "two hundred ninety-five million, seven hundred forty-two thousand, seven hundred twenty".