5959400 has 48 divisors (see below), whose sum is σ = 14061600. Its totient is φ = 2348480.

The previous prime is 5959399. The next prime is 5959403. The reversal of 5959400 is 49595.

It is not an unprimeable number, because it can be changed into a prime (5959403) 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, 16421 + ... + 16779.

It is an arithmetic number, because the mean of its divisors is an integer number (292950).

Almost surely, 2^5959400 is an apocalyptic number.

5959400 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 5959400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030800).

5959400 is an abundant number, since it is smaller than the sum of its proper divisors (8102200).

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

5959400 is a wasteful number, since it uses less digits than its factorization.

5959400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 5959400 is about 2441.1882352658. The cubic root of 5959400 is about 181.3012696816.

The spelling of 5959400 in words is "five million, nine hundred fifty-nine thousand, four hundred".