2405200 has 60 divisors (see below), whose sum is σ = 6611680. Its totient is φ = 823680.

The previous prime is 2405171. The next prime is 2405203. The reversal of 2405200 is 25042.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2405203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2371 + ... + 3229.

2^2405200 is an apocalyptic number.

2405200 is a gapful number since it is divisible by the number (20) 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 2405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305840).

2405200 is an abundant number, since it is smaller than the sum of its proper divisors (4206480).

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

2405200 is a wasteful number, since it uses less digits than its factorization.

2405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 2405200 is about 1550.8707231746. The cubic root of 2405200 is about 133.9832161350.

The spelling of 2405200 in words is "two million, four hundred five thousand, two hundred".