413493201 has 16 divisors (see below), whose sum is σ = 668272320. Its totient is φ = 250601760.

The previous prime is 413493187. The next prime is 413493209. The reversal of 413493201 is 102394314.

413493201 is a `hidden beast` number, since 413 + 49 + 3 + 201 = 666.

It is not a de Polignac number, because 413493201 - 2¹⁷ = 413362129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (413493209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 695820 + ... + 696413.

It is an arithmetic number, because the mean of its divisors is an integer number (41767020).

Almost surely, 2^413493201 is an apocalyptic number.

It is an amenable number.

413493201 is a deficient number, since it is larger than the sum of its proper divisors (254779119).

413493201 is a wasteful number, since it uses less digits than its factorization.

413493201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392253 (or 1392247 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 413493201 is about 20334.5322296826. The cubic root of 413493201 is about 744.9997453567. Note that the first 3 decimals are identical.

The spelling of 413493201 in words is "four hundred thirteen million, four hundred ninety-three thousand, two hundred one".