5929394400 has 288 divisors, whose sum is σ = 21715797600. Its totient is φ = 1580705280.

The previous prime is 5929394377. The next prime is 5929394431. The reversal of 5929394400 is 44939295.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1747906 + ... + 1751294.

It is an arithmetic number, because the mean of its divisors is an integer number (75402075).

Almost surely, 2^5929394400 is an apocalyptic number.

5929394400 is a gapful number since it is divisible by the number (50) 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 5929394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10857898800).

5929394400 is an abundant number, since it is smaller than the sum of its proper divisors (15786403200).

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

5929394400 is an equidigital number, since it uses as much as digits as its factorization.

5929394400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 5929394400 is about 77002.5609963721. The cubic root of 5929394400 is about 1809.9647338041.

The spelling of 5929394400 in words is "five billion, nine hundred twenty-nine million, three hundred ninety-four thousand, four hundred".