5401200 has 120 divisors (see below), whose sum is σ = 19804288. Its totient is φ = 1232640.

The previous prime is 5401171. The next prime is 5401211. The reversal of 5401200 is 21045.

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

It is a super-2 number, since 2×5401200² = 58345922880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 8079 + ... + 8721.

Almost surely, 2^5401200 is an apocalyptic number.

5401200 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 5401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9902144).

5401200 is an abundant number, since it is smaller than the sum of its proper divisors (14403088).

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

5401200 is a wasteful number, since it uses less digits than its factorization.

5401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 5401200 is about 2324.0481922714. The cubic root of 5401200 is about 175.4540589646.

Adding to 5401200 its reverse (21045), we get a palindrome (5422245).

The spelling of 5401200 in words is "five million, four hundred one thousand, two hundred".