5413200 has 120 divisors (see below), whose sum is σ = 18727968. Its totient is φ = 1328640.

The previous prime is 5413193. The next prime is 5413217. The reversal of 5413200 is 23145.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5413200.

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, 15427 + ... + 15773.

Almost surely, 2^5413200 is an apocalyptic number.

5413200 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 5413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9363984).

5413200 is an abundant number, since it is smaller than the sum of its proper divisors (13314768).

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

5413200 is a wasteful number, since it uses less digits than its factorization.

5413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5413200 is about 2326.6284619595. The cubic root of 5413200 is about 175.5838999496.

Adding to 5413200 its reverse (23145), we get a palindrome (5436345).

It can be divided in two parts, 541 and 3200, that added together give a triangular number (3741 = T₈₆).

The spelling of 5413200 in words is "five million, four hundred thirteen thousand, two hundred".