305004960 has 192 divisors, whose sum is σ = 1149845760. Its totient is φ = 75064320.

The previous prime is 305004911. The next prime is 305004961. The reversal of 305004960 is 69400503.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (305004961) 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, 53445 + ... + 58875.

It is an arithmetic number, because the mean of its divisors is an integer number (5988780).

Almost surely, 2^305004960 is an apocalyptic number.

305004960 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 305004960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574922880).

305004960 is an abundant number, since it is smaller than the sum of its proper divisors (844840800).

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

305004960 is a wasteful number, since it uses less digits than its factorization.

305004960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 305004960 is about 17464.3912003826. The cubic root of 305004960 is about 673.1351985947.

The spelling of 305004960 in words is "three hundred five million, four thousand, nine hundred sixty".