413233420 has 48 divisors (see below), whose sum is σ = 882641088. Its totient is φ = 162489600.

The previous prime is 413233417. The next prime is 413233423. The reversal of 413233420 is 24332314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (413233417) and next prime (413233423).

It is a super-3 number, since 3×413233420³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413233391 and 413233400.

It is not an unprimeable number, because it can be changed into a prime (413233423) 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 15 ways as a sum of consecutive naturals, for example, 316489 + ... + 317791.

It is an arithmetic number, because the mean of its divisors is an integer number (18388356).

Almost surely, 2^413233420 is an apocalyptic number.

It is an amenable number.

413233420 is an abundant number, since it is smaller than the sum of its proper divisors (469407668).

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

413233420 is a wasteful number, since it uses less digits than its factorization.

413233420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 413233420 is about 20328.1435453413. The cubic root of 413233420 is about 744.8436949687.

Adding to 413233420 its reverse (24332314), we get a palindrome (437565734).

The spelling of 413233420 in words is "four hundred thirteen million, two hundred thirty-three thousand, four hundred twenty".