413649 has 24 divisors (see below), whose sum is σ = 655200. Its totient is φ = 250560.

The previous prime is 413629. The next prime is 413653. The reversal of 413649 is 946314.

413649 is a `hidden beast` number, since 4 + 13 + 649 = 666.

It is not a de Polignac number, because 413649 - 2⁷ = 413521 is a prime.

It is a super-2 number, since 2×413649² = 342210990402, which contains 22 as substring.

It is an Ulam number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (413629) 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 23 ways as a sum of consecutive naturals, for example, 6982 + ... + 7040.

It is an arithmetic number, because the mean of its divisors is an integer number (27300).

2⁴¹³⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

413649 is a deficient number, since it is larger than the sum of its proper divisors (241551).

413649 is a wasteful number, since it uses less digits than its factorization.

413649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 122 counting only the distinct ones).

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

The square root of 413649 is about 643.1555021921. The cubic root of 413649 is about 74.5093302429.

The spelling of 413649 in words is "four hundred thirteen thousand, six hundred forty-nine".