305480160 has 240 divisors, whose sum is σ = 1093687056. Its totient is φ = 80621568.

The previous prime is 305480159. The next prime is 305480167. The reversal of 305480160 is 61084503.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305480167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3149232 + ... + 3149328.

Almost surely, 2^305480160 is an apocalyptic number.

305480160 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 305480160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546843528).

305480160 is an abundant number, since it is smaller than the sum of its proper divisors (788206896).

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

305480160 is an frugal number, since it uses more digits than its factorization.

305480160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 305480160 is about 17477.9907312025. The cubic root of 305480160 is about 673.4846004187.

The spelling of 305480160 in words is "three hundred five million, four hundred eighty thousand, one hundred sixty".