345882460 has 96 divisors (see below), whose sum is σ = 953326080. Its totient is φ = 102124800.

The previous prime is 345882451. The next prime is 345882463. The reversal of 345882460 is 64288543.

It is a super-2 number, since 2×345882460² = 239269352271303200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345882463) 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, 23350 + ... + 35170.

It is an arithmetic number, because the mean of its divisors is an integer number (9930480).

Almost surely, 2^345882460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345882460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476663040).

345882460 is an abundant number, since it is smaller than the sum of its proper divisors (607443620).

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

345882460 is a wasteful number, since it uses less digits than its factorization.

345882460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11867 (or 11865 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 345882460 is about 18597.9154745902. The cubic root of 345882460 is about 701.9553898433.

The spelling of 345882460 in words is "three hundred forty-five million, eight hundred eighty-two thousand, four hundred sixty".