305420544 has 360 divisors, whose sum is σ = 1080311232. Its totient is φ = 84602880.

The previous prime is 305420543. The next prime is 305420551. The reversal of 305420544 is 445024503.

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

It is not an unprimeable number, because it can be changed into a prime (305420543) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2965197 + ... + 2965299.

Almost surely, 2^305420544 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 305420544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540155616).

305420544 is an abundant number, since it is smaller than the sum of its proper divisors (774890688).

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

305420544 is a wasteful number, since it uses less digits than its factorization.

305420544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 305420544 is about 17476.2851887923. The cubic root of 305420544 is about 673.4407862584.

The spelling of 305420544 in words is "three hundred five million, four hundred twenty thousand, five hundred forty-four".