403230202400 has 36 divisors (see below), whose sum is σ = 984385733562. Its totient is φ = 161292080640.

The previous prime is 403230202393. The next prime is 403230202409. The reversal of 403230202400 is 4202032304.

It can be written as a sum of positive squares in 3 ways, for example, as 251077157776 + 152153044624 = 501076^2 + 390068^2 .

It is a super-2 number, since 2×403230202400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (403230202409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 252018077 + ... + 252019676.

Almost surely, 2^403230202400 is an apocalyptic number.

403230202400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

403230202400 is an abundant number, since it is smaller than the sum of its proper divisors (581155531162).

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

403230202400 is a wasteful number, since it uses less digits than its factorization.

403230202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504037773 (or 504037760 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 403230202400 its reverse (4202032304), we get a palindrome (407432234704).

The spelling of 403230202400 in words is "four hundred three billion, two hundred thirty million, two hundred two thousand, four hundred".