9426456000 has 672 divisors, whose sum is σ = 37759770048. Its totient is φ = 2314137600.

The previous prime is 9426455981. The next prime is 9426456041. The reversal of 9426456000 is 6546249.

9426456000 is a `hidden beast` number, since 9 + 4 + 2 + 6 + 45 + 600 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 25271814 + ... + 25272186.

It is an arithmetic number, because the mean of its divisors is an integer number (56190134).

Almost surely, 2^9426456000 is an apocalyptic number.

9426456000 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 9426456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18879885024).

9426456000 is an abundant number, since it is smaller than the sum of its proper divisors (28333314048).

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

9426456000 is a wasteful number, since it uses less digits than its factorization.

9426456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 9426456000 is about 97089.9376866625. The cubic root of 9426456000 is about 2112.4323753197.

The spelling of 9426456000 in words is "nine billion, four hundred twenty-six million, four hundred fifty-six thousand".