9047438400 has 1008 divisors, whose sum is σ = 40716768960. Its totient is φ = 1728921600.

The previous prime is 9047438399. The next prime is 9047438419. The reversal of 9047438400 is 48347409.

It is a super-2 number, since 2×9047438400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33633466 + ... + 33633734.

It is an arithmetic number, because the mean of its divisors is an integer number (40393620).

Almost surely, 2^9047438400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9047438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20358384480).

9047438400 is an abundant number, since it is smaller than the sum of its proper divisors (31669330560).

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

9047438400 is a wasteful number, since it uses less digits than its factorization.

9047438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 9047438400 is about 95118.0235286667. The cubic root of 9047438400 is about 2083.7320816839.

The spelling of 9047438400 in words is "nine billion, forty-seven million, four hundred thirty-eight thousand, four hundred".