305250960 has 320 divisors, whose sum is σ = 1162782720. Its totient is φ = 64696320.

The previous prime is 305250943. The next prime is 305250961. The reversal of 305250960 is 69052503.

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

It is not an unprimeable number, because it can be changed into a prime (305250961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2330095 + ... + 2330225.

It is an arithmetic number, because the mean of its divisors is an integer number (3633696).

Almost surely, 2^305250960 is an apocalyptic number.

305250960 is a gapful number since it is divisible by the number (30) 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 305250960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581391360).

305250960 is an abundant number, since it is smaller than the sum of its proper divisors (857531760).

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

305250960 is a wasteful number, since it uses less digits than its factorization.

305250960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 305250960 is about 17471.4326830973. The cubic root of 305250960 is about 673.3161210732.

The spelling of 305250960 in words is "three hundred five million, two hundred fifty thousand, nine hundred sixty".