5805374400 has 252 divisors, whose sum is σ = 23581748112. Its totient is φ = 1326919680.

The previous prime is 5805374359. The next prime is 5805374413. The reversal of 5805374400 is 44735085.

5805374400 is a `hidden beast` number, since 5 + 80 + 537 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72004 + ... + 129596.

Almost surely, 2^5805374400 is an apocalyptic number.

5805374400 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 5805374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11790874056).

5805374400 is an abundant number, since it is smaller than the sum of its proper divisors (17776373712).

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

5805374400 is a wasteful number, since it uses less digits than its factorization.

5805374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57628 (or 57610 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5805374400 is about 76193.0075531869. The cubic root of 5805374400 is about 1797.2565615013.

The spelling of 5805374400 in words is "five billion, eight hundred five million, three hundred seventy-four thousand, four hundred".