5395200 has 108 divisors (see below), whose sum is σ = 17868648. Its totient is φ = 1433600.

The previous prime is 5395199. The next prime is 5395207. The reversal of 5395200 is 25935.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5395207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19060 + ... + 19340.

Almost surely, 2^5395200 is an apocalyptic number.

5395200 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 5395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8934324).

5395200 is an abundant number, since it is smaller than the sum of its proper divisors (12473448).

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

5395200 is a wasteful number, since it uses less digits than its factorization.

5395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 5395200 is about 2322.7569825533. The cubic root of 5395200 is about 175.3890663454.

The spelling of 5395200 in words is "five million, three hundred ninety-five thousand, two hundred".