304785540 has 72 divisors (see below), whose sum is σ = 926773848. Its totient is φ = 81077760.

The previous prime is 304785527. The next prime is 304785587. The reversal of 304785540 is 45587403.

304785540 is a `hidden beast` number, since 30 + 4 + 7 + 85 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 352836 + 304432704 = 594^2 + 17448^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 304785495 and 304785504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81144 + ... + 84816.

It is an arithmetic number, because the mean of its divisors is an integer number (12871859).

Almost surely, 2^304785540 is an apocalyptic number.

304785540 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 304785540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463386924).

304785540 is an abundant number, since it is smaller than the sum of its proper divisors (621988308).

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

304785540 is a wasteful number, since it uses less digits than its factorization.

304785540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4149 (or 4144 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 304785540 is about 17458.1081449280. The cubic root of 304785540 is about 672.9737424688.

The spelling of 304785540 in words is "three hundred four million, seven hundred eighty-five thousand, five hundred forty".