5384100 has 72 divisors (see below), whose sum is σ = 15811488. Its totient is φ = 1414400.

The previous prime is 5384081. The next prime is 5384101. The reversal of 5384100 is 14835.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (5384101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39232 + ... + 39368.

It is an arithmetic number, because the mean of its divisors is an integer number (219604).

Almost surely, 2^5384100 is an apocalyptic number.

5384100 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 5384100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7905744).

5384100 is an abundant number, since it is smaller than the sum of its proper divisors (10427388).

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

5384100 is a wasteful number, since it uses less digits than its factorization.

5384100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5384100 is about 2320.3663503852. The cubic root of 5384100 is about 175.2687028567.

Adding to 5384100 its sum of digits (21), we get a triangular number (5384121 = T₃₂₈₁).

Adding to 5384100 its reverse (14835), we get a palindrome (5398935).

The spelling of 5384100 in words is "five million, three hundred eighty-four thousand, one hundred".