305094420 has 72 divisors (see below), whose sum is σ = 929040840. Its totient is φ = 81043200.

The previous prime is 305094409. The next prime is 305094481. The reversal of 305094420 is 24490503.

It can be written as a sum of positive squares in 4 ways, for example, as 4210704 + 300883716 = 2052^2 + 17346^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45270 + ... + 51570.

It is an arithmetic number, because the mean of its divisors is an integer number (12903345).

Almost surely, 2^305094420 is an apocalyptic number.

305094420 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 305094420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464520420).

305094420 is an abundant number, since it is smaller than the sum of its proper divisors (623946420).

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

305094420 is a wasteful number, since it uses less digits than its factorization.

305094420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6585 (or 6580 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 305094420 is about 17466.9522241289. The cubic root of 305094420 is about 673.2010038506.

The spelling of 305094420 in words is "three hundred five million, ninety-four thousand, four hundred twenty".