1424544400 has 120 divisors (see below), whose sum is σ = 3553493544. Its totient is φ = 548352000.

The previous prime is 1424544397. The next prime is 1424544421. The reversal of 1424544400 is 44454241.

It can be written as a sum of positive squares in 12 ways, for example, as 4460544 + 1420083856 = 2112^2 + 37684^2 .

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 23 ways as a sum of consecutive naturals, for example, 1494324 + ... + 1495276.

Almost surely, 2^1424544400 is an apocalyptic number.

1424544400 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 1424544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776746772).

1424544400 is an abundant number, since it is smaller than the sum of its proper divisors (2128949144).

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

1424544400 is a wasteful number, since it uses less digits than its factorization.

1424544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The square root of 1424544400 is about 37743.1371245158. The cubic root of 1424544400 is about 1125.1886169345.

Adding to 1424544400 its reverse (44454241), we get a palindrome (1468998641).

The spelling of 1424544400 in words is "one billion, four hundred twenty-four million, five hundred forty-four thousand, four hundred".