305254152960 has 288 divisors, whose sum is σ = 1025363017728. Its totient is φ = 77287342080.

The previous prime is 305254152953. The next prime is 305254152961. The reversal of 305254152960 is 69251452503.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (305254152961) 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, 6284929 + ... + 6333311.

It is an arithmetic number, because the mean of its divisors is an integer number (3560288256).

Almost surely, 2^305254152960 is an apocalyptic number.

305254152960 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 305254152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512681508864).

305254152960 is an abundant number, since it is smaller than the sum of its proper divisors (720108864768).

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

305254152960 is a wasteful number, since it uses less digits than its factorization.

305254152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48491 (or 48477 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 305254152960 in words is "three hundred five billion, two hundred fifty-four million, one hundred fifty-two thousand, nine hundred sixty".