9426830400 has 504 divisors, whose sum is σ = 37084933704. Its totient is φ = 2256076800.

The previous prime is 9426830381. The next prime is 9426830417. The reversal of 9426830400 is 40386249.

It is a happy number.

9426830400 is a `hidden beast` number, since 94 + 268 + 304 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3751317504 + 5675512896 = 61248^2 + 75336^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6925720 + ... + 6927080.

Almost surely, 2^9426830400 is an apocalyptic number.

9426830400 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 9426830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18542466852).

9426830400 is an abundant number, since it is smaller than the sum of its proper divisors (27658103304).

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

9426830400 is a wasteful number, since it uses less digits than its factorization.

9426830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 9426830400 is about 97091.8657766962. The cubic root of 9426830400 is about 2112.4603421473.

The spelling of 9426830400 in words is "nine billion, four hundred twenty-six million, eight hundred thirty thousand, four hundred".