5858400 has 72 divisors (see below), whose sum is σ = 19076904. Its totient is φ = 1561600.

The previous prime is 5858371. The next prime is 5858407. The reversal of 5858400 is 48585.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5858407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1180 + ... + 3620.

It is an arithmetic number, because the mean of its divisors is an integer number (264957).

Almost surely, 2^5858400 is an apocalyptic number.

5858400 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 5858400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9538452).

5858400 is an abundant number, since it is smaller than the sum of its proper divisors (13218504).

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

5858400 is a wasteful number, since it uses less digits than its factorization.

5858400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 5858400 is about 2420.4131878669. The cubic root of 5858400 is about 180.2711961367.

The spelling of 5858400 in words is "five million, eight hundred fifty-eight thousand, four hundred".