5812400 has 60 divisors (see below), whose sum is σ = 15245304. Its totient is φ = 2112000.

The previous prime is 5812397. The next prime is 5812403. The reversal of 5812400 is 42185.

It is an interprime number because it is at equal distance from previous prime (5812397) and next prime (5812403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5812403) 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, 3740 + ... + 5060.

Almost surely, 2^5812400 is an apocalyptic number.

5812400 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 5812400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7622652).

5812400 is an abundant number, since it is smaller than the sum of its proper divisors (9432904).

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

5812400 is a wasteful number, since it uses less digits than its factorization.

5812400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 5812400 is about 2410.8919511251. The cubic root of 5812400 is about 179.7981275915.

Adding to 5812400 its reverse (42185), we get a palindrome (5854585).

The spelling of 5812400 in words is "five million, eight hundred twelve thousand, four hundred".