413972642 has 8 divisors (see below), whose sum is σ = 627936300. Its totient is φ = 204660544.

The previous prime is 413972641. The next prime is 413972693. The reversal of 413972642 is 246279314.

It can be written as a sum of positive squares in 2 ways, for example, as 393982801 + 19989841 = 19849^2 + 4471^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-3 number, since 3×413972642³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413972596 and 413972605.

It is not an unprimeable number, because it can be changed into a prime (413972641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1162667 + ... + 1163022.

Almost surely, 2^413972642 is an apocalyptic number.

413972642 is a deficient number, since it is larger than the sum of its proper divisors (213963658).

413972642 is a wasteful number, since it uses less digits than its factorization.

413972642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325780.

The product of its digits is 72576, while the sum is 38.

The square root of 413972642 is about 20346.3176520962. The cubic root of 413972642 is about 745.2875739198.

The spelling of 413972642 in words is "four hundred thirteen million, nine hundred seventy-two thousand, six hundred forty-two".