9446400 has 198 divisors, whose sum is σ = 34647522. Its totient is φ = 2457600.

The previous prime is 9446329. The next prime is 9446443. The reversal of 9446400 is 46449.

It can be written as a sum of positive squares in 3 ways, for example, as 9216 + 9437184 = 96^2 + 3072^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 230380 + ... + 230420.

Almost surely, 2^9446400 is an apocalyptic number.

9446400 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 9446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17323761).

9446400 is an abundant number, since it is smaller than the sum of its proper divisors (25201122).

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

9446400 is a wasteful number, since it uses less digits than its factorization.

9446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 9446400 is about 3073.4996339678. The cubic root of 9446400 is about 211.3921116998.

The spelling of 9446400 in words is "nine million, four hundred forty-six thousand, four hundred".