1224404400 has 60 divisors (see below), whose sum is σ = 3922179272. Its totient is φ = 326507520.

The previous prime is 1224404393. The next prime is 1224404411. The reversal of 1224404400 is 44044221.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1224404400² = 2998332269478720000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 508969 + ... + 511368.

Almost surely, 2^1224404400 is an apocalyptic number.

1224404400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1224404400 is an abundant number, since it is smaller than the sum of its proper divisors (2697774872).

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

1224404400 is a wasteful number, since it uses less digits than its factorization.

1224404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020358 (or 1020347 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 1224404400 is about 34991.4903940944. The cubic root of 1224404400 is about 1069.8140416930.

Adding to 1224404400 its reverse (44044221), we get a palindrome (1268448621).

The spelling of 1224404400 in words is "one billion, two hundred twenty-four million, four hundred four thousand, four hundred".