30469850400 has 432 divisors, whose sum is σ = 111891525984. Its totient is φ = 7142400000.

The previous prime is 30469850381. The next prime is 30469850401. The reversal of 30469850400 is 405896403.

It is not an unprimeable number, because it can be changed into a prime (30469850401) 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 71 ways as a sum of consecutive naturals, for example, 25369800 + ... + 25371000.

It is an arithmetic number, because the mean of its divisors is an integer number (259008162).

Almost surely, 2^30469850400 is an apocalyptic number.

30469850400 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 30469850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55945762992).

30469850400 is an abundant number, since it is smaller than the sum of its proper divisors (81421675584).

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

30469850400 is a wasteful number, since it uses less digits than its factorization.

30469850400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 30469850400 in words is "thirty billion, four hundred sixty-nine million, eight hundred fifty thousand, four hundred".