1404244400 has 240 divisors, whose sum is σ = 3903812640. Its totient is φ = 481075200.

The previous prime is 1404244363. The next prime is 1404244411. The reversal of 1404244400 is 44424041.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6026684 + ... + 6026916.

It is an arithmetic number, because the mean of its divisors is an integer number (16265886).

Almost surely, 2^1404244400 is an apocalyptic number.

1404244400 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 1404244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951906320).

1404244400 is an abundant number, since it is smaller than the sum of its proper divisors (2499568240).

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

1404244400 is a wasteful number, since it uses less digits than its factorization.

1404244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 1404244400 is about 37473.2491252093. The cubic root of 1404244400 is about 1119.8183166178.

Adding to 1404244400 its reverse (44424041), we get a palindrome (1448668441).

The spelling of 1404244400 in words is "one billion, four hundred four million, two hundred forty-four thousand, four hundred".