305475240 has 128 divisors (see below), whose sum is σ = 1081221120. Its totient is φ = 67564800.

The previous prime is 305475239. The next prime is 305475281. The reversal of 305475240 is 42574503.

It is a super-3 number, since 3×305475240³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 305475198 and 305475207.

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, 20175 + ... + 31905.

It is an arithmetic number, because the mean of its divisors is an integer number (8447040).

Almost surely, 2^305475240 is an apocalyptic number.

305475240 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 305475240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540610560).

305475240 is an abundant number, since it is smaller than the sum of its proper divisors (775745880).

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

305475240 is a wasteful number, since it uses less digits than its factorization.

305475240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11783 (or 11779 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 305475240 is about 17477.8499821917. The cubic root of 305475240 is about 673.4809847316.

The spelling of 305475240 in words is "three hundred five million, four hundred seventy-five thousand, two hundred forty".