305130240 has 288 divisors, whose sum is σ = 1106212800. Its totient is φ = 80621568.

The previous prime is 305130227. The next prime is 305130269. The reversal of 305130240 is 42031503.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2799306 + ... + 2799414.

Almost surely, 2^305130240 is an apocalyptic number.

305130240 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 305130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553106400).

305130240 is an abundant number, since it is smaller than the sum of its proper divisors (801082560).

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

305130240 is an frugal number, since it uses more digits than its factorization.

305130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 305130240 is about 17467.9775589505. The cubic root of 305130240 is about 673.2273488275.

Adding to 305130240 its reverse (42031503), we get a palindrome (347161743).

The spelling of 305130240 in words is "three hundred five million, one hundred thirty thousand, two hundred forty".