305004420 has 144 divisors (see below), whose sum is σ = 1103921280. Its totient is φ = 69709248.

The previous prime is 305004389. The next prime is 305004421. The reversal of 305004420 is 24400503.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 305004393 and 305004402.

It is not an unprimeable number, because it can be changed into a prime (305004421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20697 + ... + 32223.

It is an arithmetic number, because the mean of its divisors is an integer number (7666120).

Almost surely, 2^305004420 is an apocalyptic number.

305004420 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 305004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551960640).

305004420 is an abundant number, since it is smaller than the sum of its proper divisors (798916860).

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

305004420 is a wasteful number, since it uses less digits than its factorization.

305004420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11559 (or 11544 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 305004420 is about 17464.3757403464. The cubic root of 305004420 is about 673.1348013408.

Adding to 305004420 its reverse (24400503), we get a palindrome (329404923).

The spelling of 305004420 in words is "three hundred five million, four thousand, four hundred twenty".