1404061600 has 72 divisors (see below), whose sum is σ = 3461801868. Its totient is φ = 556032000.

The previous prime is 1404061543. The next prime is 1404061613. The reversal of 1404061600 is 61604041.

It can be written as a sum of positive squares in 6 ways, for example, as 538054416 + 866007184 = 23196^2 + 29428^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72112 + ... + 89488.

Almost surely, 2^1404061600 is an apocalyptic number.

1404061600 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 1404061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730900934).

1404061600 is an abundant number, since it is smaller than the sum of its proper divisors (2057740268).

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

1404061600 is a wasteful number, since it uses less digits than its factorization.

1404061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17498 (or 17485 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1404061600 is about 37470.8099725640. The cubic root of 1404061600 is about 1119.7697230655.

Adding to 1404061600 its reverse (61604041), we get a palindrome (1465665641).

The spelling of 1404061600 in words is "one billion, four hundred four million, sixty-one thousand, six hundred".