416955 has 48 divisors (see below), whose sum is σ = 877824. Its totient is φ = 164160.

The previous prime is 416947. The next prime is 416957. The reversal of 416955 is 559614.

It is not a de Polignac number, because 416955 - 2³ = 416947 is a prime.

Its product of digits (5400) is a multiple of the sum of its prime divisors (45).

416955 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21936 + ... + 21954.

It is an arithmetic number, because the mean of its divisors is an integer number (18288).

2⁴¹⁶⁹⁵⁵ is an apocalyptic number.

416955 is an abundant number, since it is smaller than the sum of its proper divisors (460869).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

416955 is a wasteful number, since it uses less digits than its factorization.

416955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 45 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 416955 is about 645.7205277827. The cubic root of 416955 is about 74.7073036484.

It can be divided in two parts, 4169 and 55, that added together give a palindrome (4224).

The spelling of 416955 in words is "four hundred sixteen thousand, nine hundred fifty-five".