295220640 has 576 divisors, whose sum is σ = 1216228608. Its totient is φ = 59473920.

The previous prime is 295220599. The next prime is 295220659. The reversal of 295220640 is 46022592.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 295220598 and 295220607.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12835669 + ... + 12835691.

It is an arithmetic number, because the mean of its divisors is an integer number (2111508).

Almost surely, 2^295220640 is an apocalyptic number.

295220640 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 295220640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608114304).

295220640 is an abundant number, since it is smaller than the sum of its proper divisors (921007968).

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

295220640 is a wasteful number, since it uses less digits than its factorization.

295220640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 295220640 is about 17181.9859154872. The cubic root of 295220640 is about 665.8589462212.

The spelling of 295220640 in words is "two hundred ninety-five million, two hundred twenty thousand, six hundred forty".