305480018560 has 128 divisors (see below), whose sum is σ = 750672210960. Its totient is φ = 118801858560.

The previous prime is 305480018549. The next prime is 305480018563. The reversal of 305480018560 is 65810084503.

It can be written as a sum of positive squares in 8 ways, for example, as 212122882624 + 93357135936 = 460568^2 + 305544^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (305480018563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7668454 + ... + 7708186.

Almost surely, 2^305480018560 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 305480018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375336105480).

305480018560 is an abundant number, since it is smaller than the sum of its proper divisors (445192192400).

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

305480018560 is a wasteful number, since it uses less digits than its factorization.

305480018560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40086 (or 40074 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 305480018560 in words is "three hundred five billion, four hundred eighty million, eighteen thousand, five hundred sixty".