9048412800 has 480 divisors, whose sum is σ = 38168375520. Its totient is φ = 2067793920.

The previous prime is 9048412781. The next prime is 9048412823. The reversal of 9048412800 is 82148409.

9048412800 is a `hidden beast` number, since 90 + 484 + 12 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1811907 + ... + 1816893.

It is an arithmetic number, because the mean of its divisors is an integer number (79517449).

Almost surely, 2^9048412800 is an apocalyptic number.

9048412800 is a gapful number since it is divisible by the number (90) 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 9048412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19084187760).

9048412800 is an abundant number, since it is smaller than the sum of its proper divisors (29119962720).

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

9048412800 is a wasteful number, since it uses less digits than its factorization.

9048412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5030 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 9048412800 is about 95123.1454484133. The cubic root of 9048412800 is about 2083.8068842805.

The spelling of 9048412800 in words is "nine billion, forty-eight million, four hundred twelve thousand, eight hundred".