30450264480 has 144 divisors (see below), whose sum is σ = 107494831080. Its totient is φ = 7840057344.

The previous prime is 30450264479. The next prime is 30450264497. The reversal of 30450264480 is 8446205403.

30450264480 is a `hidden beast` number, since 3 + 0 + 4 + 5 + 0 + 2 + 644 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24152889744 + 6297374736 = 155412^2 + 79356^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322827 + ... + 406346.

Almost surely, 2^30450264480 is an apocalyptic number.

30450264480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30450264480 is an abundant number, since it is smaller than the sum of its proper divisors (77044566600).

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

30450264480 is a wasteful number, since it uses less digits than its factorization.

30450264480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729223 (or 729212 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 30450264480 its reverse (8446205403), we get a palindrome (38896469883).

The spelling of 30450264480 in words is "thirty billion, four hundred fifty million, two hundred sixty-four thousand, four hundred eighty".