413753643 has 32 divisors (see below), whose sum is σ = 647654400. Its totient is φ = 260634528.

The previous prime is 413753629. The next prime is 413753651. The reversal of 413753643 is 346357314.

413753643 is a `hidden beast` number, since 4 + 1 + 3 + 7 + 5 + 3 + 643 = 666.

It is not a de Polignac number, because 413753643 - 2⁶ = 413753579 is a prime.

It is a super-3 number, since 3×413753643³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 413753598 and 413753607.

It is not an unprimeable number, because it can be changed into a prime (413753653) 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 31 ways as a sum of consecutive naturals, for example, 31180 + ... + 42422.

It is an arithmetic number, because the mean of its divisors is an integer number (20239200).

Almost surely, 2^413753643 is an apocalyptic number.

413753643 is a deficient number, since it is larger than the sum of its proper divisors (233900757).

413753643 is a wasteful number, since it uses less digits than its factorization.

413753643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11328 (or 11322 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 413753643 is about 20340.9351554937. The cubic root of 413753643 is about 745.1561272114.

The spelling of 413753643 in words is "four hundred thirteen million, seven hundred fifty-three thousand, six hundred forty-three".