1404314320 has 80 divisors (see below), whose sum is σ = 3455403840. Its totient is φ = 529293312.

The previous prime is 1404314309. The next prime is 1404314369. The reversal of 1404314320 is 234134041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1404314291 and 1404314300.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 290967 + ... + 295753.

It is an arithmetic number, because the mean of its divisors is an integer number (43192548).

Almost surely, 2^1404314320 is an apocalyptic number.

1404314320 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 1404314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727701920).

1404314320 is an abundant number, since it is smaller than the sum of its proper divisors (2051089520).

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

1404314320 is a wasteful number, since it uses less digits than its factorization.

1404314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012 (or 5006 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1404314320 is about 37474.1820457765. The cubic root of 1404314320 is about 1119.8369022708.

Adding to 1404314320 its reverse (234134041), we get a palindrome (1638448361).

The spelling of 1404314320 in words is "one billion, four hundred four million, three hundred fourteen thousand, three hundred twenty".