5801400 has 144 divisors (see below), whose sum is σ = 21326760. Its totient is φ = 1401600.

The previous prime is 5801399. The next prime is 5801401. The reversal of 5801400 is 41085.

It is an interprime number because it is at equal distance from previous prime (5801399) and next prime (5801401).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5801401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19654 + ... + 19946.

Almost surely, 2^5801400 is an apocalyptic number.

5801400 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 5801400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10663380).

5801400 is an abundant number, since it is smaller than the sum of its proper divisors (15525360).

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

5801400 is a wasteful number, since it uses less digits than its factorization.

5801400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5801400 is about 2408.6095574003. The cubic root of 5801400 is about 179.6846329725.

Adding to 5801400 its reverse (41085), we get a palindrome (5842485).

The spelling of 5801400 in words is "five million, eight hundred one thousand, four hundred".