305025420 has 96 divisors (see below), whose sum is σ = 984872448. Its totient is φ = 69092352.

The previous prime is 305025419. The next prime is 305025433. The reversal of 305025420 is 24520503.

It is a super-3 number, since 3×305025420³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44247 + ... + 50673.

It is an arithmetic number, because the mean of its divisors is an integer number (10259088).

Almost surely, 2^305025420 is an apocalyptic number.

305025420 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 305025420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492436224).

305025420 is an abundant number, since it is smaller than the sum of its proper divisors (679847028).

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

305025420 is a wasteful number, since it uses less digits than its factorization.

305025420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6559 (or 6557 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 305025420 is about 17464.9769538926. The cubic root of 305025420 is about 673.1502497578.

Adding to 305025420 its reverse (24520503), we get a palindrome (329545923).

The spelling of 305025420 in words is "three hundred five million, twenty-five thousand, four hundred twenty".