5900400 has 180 divisors, whose sum is σ = 22487400. Its totient is φ = 1420800.

The previous prime is 5900399. The next prime is 5900407. The reversal of 5900400 is 40095.

It is a tau number, because it is divible by the number of its divisors (180).

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 (5900407) 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, 39526 + ... + 39674.

It is an arithmetic number, because the mean of its divisors is an integer number (124930).

Almost surely, 2^5900400 is an apocalyptic number.

5900400 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 5900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11243700).

5900400 is an abundant number, since it is smaller than the sum of its proper divisors (16587000).

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

5900400 is a wasteful number, since it uses less digits than its factorization.

5900400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5900400 is about 2429.0738975997. The cubic root of 5900400 is about 180.7009703853.

Adding to 5900400 its reverse (40095), we get a palindrome (5940495).

The spelling of 5900400 in words is "five million, nine hundred thousand, four hundred".