413955 has 12 divisors (see below), whose sum is σ = 717600. Its totient is φ = 220752.

The previous prime is 413951. The next prime is 413981. The reversal of 413955 is 559314.

It is not a de Polignac number, because 413955 - 2² = 413951 is a prime.

413955 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (413951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4555 + ... + 4644.

It is an arithmetic number, because the mean of its divisors is an integer number (59800).

2⁴¹³⁹⁵⁵ is an apocalyptic number.

413955 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

413955 is a deficient number, since it is larger than the sum of its proper divisors (303645).

413955 is a wasteful number, since it uses less digits than its factorization.

413955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9210 (or 9207 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 413955 is about 643.3933478052. The cubic root of 413955 is about 74.5276986626.

The spelling of 413955 in words is "four hundred thirteen thousand, nine hundred fifty-five".