1404450816 has 192 divisors, whose sum is σ = 4033411200. Its totient is φ = 433225728.

The previous prime is 1404450799. The next prime is 1404450823. The reversal of 1404450816 is 6180544041.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6186895 + ... + 6187121.

It is an arithmetic number, because the mean of its divisors is an integer number (21007350).

Almost surely, 2^1404450816 is an apocalyptic number.

1404450816 is a gapful number since it is divisible by the number (16) 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 1404450816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016705600).

1404450816 is an abundant number, since it is smaller than the sum of its proper divisors (2628960384).

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

1404450816 is a wasteful number, since it uses less digits than its factorization.

1404450816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 1404450816 is about 37476.0032020492. The cubic root of 1404450816 is about 1119.8731829200.

Adding to 1404450816 its reverse (6180544041), we get a palindrome (7584994857).

The spelling of 1404450816 in words is "one billion, four hundred four million, four hundred fifty thousand, eight hundred sixteen".