1403424100 has 72 divisors (see below), whose sum is σ = 3341739240. Its totient is φ = 508385280.

The previous prime is 1403424083. The next prime is 1403424107. The reversal of 1403424100 is 14243041.

It can be written as a sum of positive squares in 12 ways, for example, as 330730596 + 1072693504 = 18186^2 + 32752^2 .

It is not an unprimeable number, because it can be changed into a prime (1403424107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58716 + ... + 79084.

It is an arithmetic number, because the mean of its divisors is an integer number (46413045).

Almost surely, 2^1403424100 is an apocalyptic number.

1403424100 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 1403424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670869620).

1403424100 is an abundant number, since it is smaller than the sum of its proper divisors (1938315140).

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

1403424100 is a wasteful number, since it uses less digits than its factorization.

1403424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20449 (or 20442 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1403424100 is about 37462.3023851978. The cubic root of 1403424100 is about 1119.6002240290.

Adding to 1403424100 its reverse (14243041), we get a palindrome (1417667141).

It can be divided in two parts, 1403 and 424100, that added together give a triangular number (425503 = T₉₂₂).

The spelling of 1403424100 in words is "one billion, four hundred three million, four hundred twenty-four thousand, one hundred".