5854464000 has 1152 divisors, whose sum is σ = 27188179200. Its totient is φ = 1216512000.

The previous prime is 5854463921. The next prime is 5854464023. The reversal of 5854464000 is 4644585.

5854464000 is a `hidden beast` number, since 5 + 8 + 5 + 4 + 4 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 532223995 + ... + 532224005.

It is an arithmetic number, because the mean of its divisors is an integer number (23600850).

Almost surely, 2^5854464000 is an apocalyptic number.

5854464000 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 5854464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13594089600).

5854464000 is an abundant number, since it is smaller than the sum of its proper divisors (21333715200).

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

5854464000 is a wasteful number, since it uses less digits than its factorization.

5854464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5854464000 is about 76514.4692198802. The cubic root of 5854464000 is about 1802.3081500922.

The spelling of 5854464000 in words is "five billion, eight hundred fifty-four million, four hundred sixty-four thousand".