5461200 has 180 divisors, whose sum is σ = 19938828. Its totient is φ = 1382400.

The previous prime is 5461153. The next prime is 5461213. The reversal of 5461200 is 21645.

It is a happy number.

5461200 is a `hidden beast` number, since 5 + 461 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 207936 + 5253264 = 456^2 + 2292^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133180 + ... + 133220.

Almost surely, 2^5461200 is an apocalyptic number.

5461200 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 5461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9969414).

5461200 is an abundant number, since it is smaller than the sum of its proper divisors (14477628).

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

5461200 is a wasteful number, since it uses less digits than its factorization.

5461200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5461200 is about 2336.9210512981. The cubic root of 5461200 is about 176.1013534679.

Adding to 5461200 its reverse (21645), we get a palindrome (5482845).

The spelling of 5461200 in words is "five million, four hundred sixty-one thousand, two hundred".