1405200 has 60 divisors (see below), whose sum is σ = 4505168. Its totient is φ = 374400.

The previous prime is 1405181. The next prime is 1405207. The reversal of 1405200 is 25041.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (1405207) 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, 615 + ... + 1785.

2^1405200 is an apocalyptic number.

1405200 is a gapful number since it is divisible by the number (10) 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 1405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252584).

1405200 is an abundant number, since it is smaller than the sum of its proper divisors (3099968).

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

1405200 is a wasteful number, since it uses less digits than its factorization.

1405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1181 counting only the distinct ones).

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

The square root of 1405200 is about 1185.4113210190. The cubic root of 1405200 is about 112.0072274248.

The spelling of 1405200 in words is "one million, four hundred five thousand, two hundred".