1924401424 has 45 divisors (see below), whose sum is σ = 4102413861. Its totient is φ = 873850560.

The previous prime is 1924401389. The next prime is 1924401449. The reversal of 1924401424 is 4241044291.

The square root of 1924401424 is 43868.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1656490000 + 267911424 = 40700^2 + 16368^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1929694 + ... + 1930690.

Almost surely, 2^1924401424 is an apocalyptic number.

1924401424 is the 43868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1924401424

1924401424 is an abundant number, since it is smaller than the sum of its proper divisors (2178012437).

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

1924401424 is an frugal number, since it uses more digits than its factorization.

1924401424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The cubic root of 1924401424 is about 1243.8420169996.

Multiplying 1924401424 by its product of nonzero digits (9216), we get a square (17735283523584 = 4211328²).

The spelling of 1924401424 in words is "one billion, nine hundred twenty-four million, four hundred one thousand, four hundred twenty-four".