9305404416 has 880 divisors, whose sum is σ = 36522934272. Its totient is φ = 2289254400.

The previous prime is 9305404397. The next prime is 9305404439. The reversal of 9305404416 is 6144045039.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 197987305 + ... + 197987351.

Almost surely, 2^9305404416 is an apocalyptic number.

9305404416 is a gapful number since it is divisible by the number (96) 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 9305404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18261467136).

9305404416 is an abundant number, since it is smaller than the sum of its proper divisors (27217529856).

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

9305404416 is a wasteful number, since it uses less digits than its factorization.

9305404416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

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

The square root of 9305404416 is about 96464.5241319315. The cubic root of 9305404416 is about 2103.3509927974.

The spelling of 9305404416 in words is "nine billion, three hundred five million, four hundred four thousand, four hundred sixteen".