305086464 has 90 divisors (see below), whose sum is σ = 881759970. Its totient is φ = 101646336.

The previous prime is 305086459. The next prime is 305086501. The reversal of 305086464 is 464680503.

305086464 is a `hidden beast` number, since 3 + 0 + 5 + 0 + 8 + 646 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 212926464 + 92160000 = 14592^2 + 9600^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 146422 + ... + 148490.

It is an arithmetic number, because the mean of its divisors is an integer number (9797333).

Almost surely, 2^305086464 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 305086464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440879985).

305086464 is an abundant number, since it is smaller than the sum of its proper divisors (576673506).

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

305086464 is an equidigital number, since it uses as much as digits as its factorization.

305086464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 305086464 is about 17466.7244782758. The cubic root of 305086464 is about 673.1951520734.

The spelling of 305086464 in words is "three hundred five million, eighty-six thousand, four hundred sixty-four".