416295 has 36 divisors (see below), whose sum is σ = 815256. Its totient is φ = 194880.

The previous prime is 416291. The next prime is 416333. The reversal of 416295 is 592614.

416295 = T₂₆ + T₂₇ + ... + T₁₃₅.

It is not a de Polignac number, because 416295 - 2² = 416291 is a prime.

Its product of digits (2160) is a multiple of the sum of its prime divisors (48).

416295 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416291) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14341 + ... + 14369.

It is an arithmetic number, because the mean of its divisors is an integer number (22646).

2⁴¹⁶²⁹⁵ is an apocalyptic number.

416295 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

416295 is a deficient number, since it is larger than the sum of its proper divisors (398961).

416295 is a wasteful number, since it uses less digits than its factorization.

416295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 48 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 416295 is about 645.2092683773. The cubic root of 416295 is about 74.6678646527.

It can be divided in two parts, 41 and 6295, that added together give a palindrome (6336).

The spelling of 416295 in words is "four hundred sixteen thousand, two hundred ninety-five".