305431380 has 144 divisors (see below), whose sum is σ = 960261120. Its totient is φ = 78534144.

The previous prime is 305431339. The next prime is 305431409. The reversal of 305431380 is 83134503.

It is a happy number.

305431380 is a `hidden beast` number, since 30 + 543 + 13 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 668112 + ... + 668568.

It is an arithmetic number, because the mean of its divisors is an integer number (6668480).

Almost surely, 2^305431380 is an apocalyptic number.

305431380 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 305431380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480130560).

305431380 is an abundant number, since it is smaller than the sum of its proper divisors (654829740).

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

305431380 is a wasteful number, since it uses less digits than its factorization.

305431380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 593 counting only the distinct ones).

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

The square root of 305431380 is about 17476.5952061607. The cubic root of 305431380 is about 673.4487504881.

Adding to 305431380 its reverse (83134503), we get a palindrome (388565883).

The spelling of 305431380 in words is "three hundred five million, four hundred thirty-one thousand, three hundred eighty".