59400 has 96 divisors (see below), whose sum is σ = 223200. Its totient is φ = 14400.

The previous prime is 59399. The next prime is 59407. The reversal of 59400 is 495.

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

It is not an unprimeable number, because it can be changed into a prime (59407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5395 + ... + 5405.

It is an arithmetic number, because the mean of its divisors is an integer number (2325).

2⁵⁹⁴⁰⁰ is an apocalyptic number.

59400 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 59400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111600).

59400 is an abundant number, since it is smaller than the sum of its proper divisors (163800).

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

59400 is a wasteful number, since it uses less digits than its factorization.

59400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 21 counting only the distinct ones).

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

The square root of 59400 is about 243.7211521391. The cubic root of 59400 is about 39.0177434055.

Adding to 59400 its reverse (495), we get a palindrome (59895).

59400 divided by its reverse (495) gives a triangular number (120 = T₁₅).

The spelling of 59400 in words is "fifty-nine thousand, four hundred".