305680872 has 64 divisors (see below), whose sum is σ = 880312320. Its totient is φ = 86643648.

The previous prime is 305680861. The next prime is 305680883. The reversal of 305680872 is 278086503.

It is an interprime number because it is at equal distance from previous prime (305680861) and next prime (305680883).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 305680872.

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, 14173 + ... + 28499.

It is an arithmetic number, because the mean of its divisors is an integer number (13754880).

Almost surely, 2^305680872 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 305680872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440156160).

305680872 is an abundant number, since it is smaller than the sum of its proper divisors (574631448).

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

305680872 is a wasteful number, since it uses less digits than its factorization.

305680872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14470 (or 14466 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 305680872 is about 17483.7316382974. The cubic root of 305680872 is about 673.6320697302.

The spelling of 305680872 in words is "three hundred five million, six hundred eighty thousand, eight hundred seventy-two".