9340466400 has 720 divisors, whose sum is σ = 36921543120. Its totient is φ = 2289254400.

The previous prime is 9340466381. The next prime is 9340466423. The reversal of 9340466400 is 46640439.

9340466400 is a `hidden beast` number, since 9 + 3 + 4 + 0 + 4 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 67197531 + ... + 67197669.

It is an arithmetic number, because the mean of its divisors is an integer number (51279921).

Almost surely, 2^9340466400 is an apocalyptic number.

9340466400 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 9340466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18460771560).

9340466400 is an abundant number, since it is smaller than the sum of its proper divisors (27581076720).

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

9340466400 is a wasteful number, since it uses less digits than its factorization.

9340466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 9340466400 is about 96646.0883843728. The cubic root of 9340466400 is about 2105.9894318509.

The spelling of 9340466400 in words is "nine billion, three hundred forty million, four hundred sixty-six thousand, four hundred".