1404180 has 72 divisors (see below), whose sum is σ = 4422600. Its totient is φ = 360192.

The previous prime is 1404163. The next prime is 1404181. The reversal of 1404180 is 814041.

It can be written as a sum of positive squares in 4 ways, for example, as 7056 + 1397124 = 84^2 + 1182^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5086 + ... + 5354.

It is an arithmetic number, because the mean of its divisors is an integer number (61425).

2^1404180 is an apocalyptic number.

1404180 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 1404180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211300).

1404180 is an abundant number, since it is smaller than the sum of its proper divisors (3018420).

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

1404180 is a wasteful number, since it uses less digits than its factorization.

1404180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1404180 is about 1184.9810125061. The cubic root of 1404180 is about 111.9801197707.

The spelling of 1404180 in words is "one million, four hundred four thousand, one hundred eighty".