5931408384 has 396 divisors, whose sum is σ = 19621674072. Its totient is φ = 1788272640.

The previous prime is 5931408313. The next prime is 5931408397. The reversal of 5931408384 is 4838041395.

It is a tau number, because it is divible by the number of its divisors (396).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30108574 + ... + 30108770.

It is an arithmetic number, because the mean of its divisors is an integer number (49549682).

Almost surely, 2^5931408384 is an apocalyptic number.

5931408384 is a gapful number since it is divisible by the number (54) 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 5931408384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9810837036).

5931408384 is an abundant number, since it is smaller than the sum of its proper divisors (13690265688).

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

5931408384 is a wasteful number, since it uses less digits than its factorization.

5931408384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5931408384 is about 77015.6372693234. The cubic root of 5931408384 is about 1810.1696354141.

The spelling of 5931408384 in words is "five billion, nine hundred thirty-one million, four hundred eight thousand, three hundred eighty-four".