9391461408 has 480 divisors, whose sum is σ = 33253355520. Its totient is φ = 2543685120.

The previous prime is 9391461319. The next prime is 9391461433. The reversal of 9391461408 is 8041641939.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33185235 + ... + 33185517.

It is an arithmetic number, because the mean of its divisors is an integer number (69277824).

Almost surely, 2^9391461408 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 9391461408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16626677760).

9391461408 is an abundant number, since it is smaller than the sum of its proper divisors (23861894112).

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

9391461408 is a wasteful number, since it uses less digits than its factorization.

9391461408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9391461408 is about 96909.5527179854. The cubic root of 9391461408 is about 2109.8150828864.

The spelling of 9391461408 in words is "nine billion, three hundred ninety-one million, four hundred sixty-one thousand, four hundred eight".