403140100 has 72 divisors (see below), whose sum is σ = 1004623200. Its totient is φ = 138873600.

The previous prime is 403140083. The next prime is 403140109. The reversal of 403140100 is 1041304.

It is a super-3 number, since 3×403140100³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (403140109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11256 + ... + 30544.

It is an arithmetic number, because the mean of its divisors is an integer number (13953100).

Almost surely, 2^403140100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502311600).

403140100 is an abundant number, since it is smaller than the sum of its proper divisors (601483100).

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

403140100 is a wasteful number, since it uses less digits than its factorization.

403140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19333 (or 19326 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 403140100 is about 20078.3490357151. The cubic root of 403140100 is about 738.7293143086.

Adding to 403140100 its reverse (1041304), we get a palindrome (404181404).

The spelling of 403140100 in words is "four hundred three million, one hundred forty thousand, one hundred".