305241120 has 288 divisors, whose sum is σ = 1136077488. Its totient is φ = 74317824.

The previous prime is 305241113. The next prime is 305241143. The reversal of 305241120 is 21142503.

305241120 is a `hidden beast` number, since 30 + 524 + 112 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 207705744 + 97535376 = 14412^2 + 9876^2 .

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 junction number, because it is equal to n+sod(n) for n = 305241093 and 305241102.

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, 905592 + ... + 905928.

Almost surely, 2^305241120 is an apocalyptic number.

305241120 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 305241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568038744).

305241120 is an abundant number, since it is smaller than the sum of its proper divisors (830836368).

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

305241120 is a wasteful number, since it uses less digits than its factorization.

305241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 305241120 is about 17471.1510782776. The cubic root of 305241120 is about 673.3088860407.

Adding to 305241120 its reverse (21142503), we get a palindrome (326383623).

The spelling of 305241120 in words is "three hundred five million, two hundred forty-one thousand, one hundred twenty".