30285446400 has 1080 divisors, whose sum is σ = 125862194304. Its totient is φ = 7122124800.

The previous prime is 30285446383. The next prime is 30285446407. The reversal of 30285446400 is 464458203.

30285446400 is a `hidden beast` number, since 3 + 0 + 2 + 8 + 5 + 4 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-3 number, since 3×30285446400³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30285446407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 268012744 + ... + 268012856.

Almost surely, 2^30285446400 is an apocalyptic number.

30285446400 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 30285446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62931097152).

30285446400 is an abundant number, since it is smaller than the sum of its proper divisors (95576747904).

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

30285446400 is a wasteful number, since it uses less digits than its factorization.

30285446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 181 counting only the distinct ones).

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

The spelling of 30285446400 in words is "thirty billion, two hundred eighty-five million, four hundred forty-six thousand, four hundred".