304534506240 has 216 divisors, whose sum is σ = 1073540154960. Its totient is φ = 79676792832.

The previous prime is 304534506239. The next prime is 304534506301. The reversal of 304534506240 is 42605435403.

304534506240 is a `hidden beast` number, since 30 + 4 + 534 + 50 + 6 + 2 + 40 = 666.

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 = 304534506195 and 304534506204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361171 + ... + 859949.

It is an arithmetic number, because the mean of its divisors is an integer number (4970093310).

Almost surely, 2^304534506240 is an apocalyptic number.

304534506240 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 304534506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536770077480).

304534506240 is an abundant number, since it is smaller than the sum of its proper divisors (769005648720).

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

304534506240 is a wasteful number, since it uses less digits than its factorization.

304534506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498859 (or 498842 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 304534506240 in words is "three hundred four billion, five hundred thirty-four million, five hundred six thousand, two hundred forty".