5385300 has 72 divisors (see below), whose sum is σ = 16144800. Its totient is φ = 1384320.

The previous prime is 5385287. The next prime is 5385319. The reversal of 5385300 is 35835.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8391 + ... + 9009.

Almost surely, 2^5385300 is an apocalyptic number.

5385300 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 5385300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072400).

5385300 is an abundant number, since it is smaller than the sum of its proper divisors (10759500).

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

5385300 is a wasteful number, since it uses less digits than its factorization.

5385300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5385300 is about 2320.6249158362. The cubic root of 5385300 is about 175.2817230965.

The spelling of 5385300 in words is "five million, three hundred eighty-five thousand, three hundred".