1403200 has 42 divisors (see below), whose sum is σ = 3456686. Its totient is φ = 560640.

The previous prime is 1403189. The next prime is 1403239. The reversal of 1403200 is 23041.

It can be written as a sum of positive squares in 3 ways, for example, as 254016 + 1149184 = 504^2 + 1072^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1162 + ... + 2038.

2^1403200 is an apocalyptic number.

1403200 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 1403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728343).

1403200 is an abundant number, since it is smaller than the sum of its proper divisors (2053486).

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

1403200 is an equidigital number, since it uses as much as digits as its factorization.

1403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1403200 is about 1184.5674315969. The cubic root of 1403200 is about 111.9540627939.

Adding to 1403200 its reverse (23041), we get a palindrome (1426241).

The spelling of 1403200 in words is "one million, four hundred three thousand, two hundred".