305985420 has 144 divisors (see below), whose sum is σ = 1023134112. Its totient is φ = 73543680.

The previous prime is 305985403. The next prime is 305985437. The reversal of 305985420 is 24589503.

It is an interprime number because it is at equal distance from previous prime (305985403) and next prime (305985437).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99100 + ... + 102140.

It is an arithmetic number, because the mean of its divisors is an integer number (7105098).

Almost surely, 2^305985420 is an apocalyptic number.

305985420 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 305985420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511567056).

305985420 is an abundant number, since it is smaller than the sum of its proper divisors (717148692).

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

305985420 is a wasteful number, since it uses less digits than its factorization.

305985420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 305985420 is about 17492.4389380098. The cubic root of 305985420 is about 673.8557073264.

The spelling of 305985420 in words is "three hundred five million, nine hundred eighty-five thousand, four hundred twenty".