1404000900 has 81 divisors (see below), whose sum is σ = 4404289071. Its totient is φ = 374100480.

The previous prime is 1404000887. The next prime is 1404000901. The reversal of 1404000900 is 90004041.

The square root of 1404000900 is 37470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 74960964 + 1329039936 = 8658^2 + 36456^2 .

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 (1404000901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1123476 + ... + 1124724.

Almost surely, 2^1404000900 is an apocalyptic number.

1404000900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1404000900 is the 37470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1404000900

1404000900 is an abundant number, since it is smaller than the sum of its proper divisors (3000288171).

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

1404000900 is a wasteful number, since it uses less digits than its factorization.

1404000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 1259 counting only the distinct ones).

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

The cubic root of 1404000900 is about 1119.7535863087.

Multiplying 1404000900 by its product of nonzero digits (144), we get a square (202176129600 = 449640²).

Adding to 1404000900 its reverse (90004041), we get a palindrome (1494004941).

The spelling of 1404000900 in words is "one billion, four hundred four million, nine hundred", and thus it is an aban number.