5854394400 has 144 divisors (see below), whose sum is σ = 19225581984. Its totient is φ = 1547284480.

The previous prime is 5854394341. The next prime is 5854394417. The reversal of 5854394400 is 44934585.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260407 + ... + 281993.

It is an arithmetic number, because the mean of its divisors is an integer number (133510986).

Almost surely, 2^5854394400 is an apocalyptic number.

5854394400 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 5854394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9612790992).

5854394400 is an abundant number, since it is smaller than the sum of its proper divisors (13371187584).

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

5854394400 is a wasteful number, since it uses less digits than its factorization.

5854394400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21723 (or 21710 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 5854394400 is about 76514.0144025916. The cubic root of 5854394400 is about 1802.3010078987.

The spelling of 5854394400 in words is "five billion, eight hundred fifty-four million, three hundred ninety-four thousand, four hundred".