30480302400 has 84 divisors (see below), whose sum is σ = 100000807872. Its totient is φ = 8128079360.

The previous prime is 30480302393. The next prime is 30480302407. The reversal of 30480302400 is 420308403.

It is an interprime number because it is at equal distance from previous prime (30480302393) and next prime (30480302407).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30480302407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3170232 + ... + 3179831.

It is an arithmetic number, because the mean of its divisors is an integer number (1190485808).

Almost surely, 2^30480302400 is an apocalyptic number.

30480302400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30480302400 is an abundant number, since it is smaller than the sum of its proper divisors (69520505472).

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

30480302400 is a wasteful number, since it uses less digits than its factorization.

30480302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6350088 (or 6350073 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 30480302400 in words is "thirty billion, four hundred eighty million, three hundred two thousand, four hundred".