1404090000 has 150 divisors (see below), whose sum is σ = 4910620286. Its totient is φ = 374400000.

The previous prime is 1404089969. The next prime is 1404090007. The reversal of 1404090000 is 904041.

It can be written as a sum of positive squares in 5 ways, for example, as 217149696 + 1186940304 = 14736^2 + 34452^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is not an unprimeable number, because it can be changed into a prime (1404090007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 82200 + ... + 97800.

Almost surely, 2^1404090000 is an apocalyptic number.

1404090000 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 1404090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455310143).

1404090000 is an abundant number, since it is smaller than the sum of its proper divisors (3506530286).

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

1404090000 is a wasteful number, since it uses less digits than its factorization.

1404090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15635 (or 15611 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1404090000 is about 37471.1889322984. The cubic root of 1404090000 is about 1119.7772728875. Note that the first 3 decimals are identical.

Adding to 1404090000 its reverse (904041), we get a palindrome (1404994041).

The spelling of 1404090000 in words is "one billion, four hundred four million, ninety thousand".