416264 has 16 divisors (see below), whose sum is σ = 794220. Its totient is φ = 204480.

The previous prime is 416263. The next prime is 416281. The reversal of 416264 is 462614.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 293764 + 122500 = 542^2 + 350^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (416263) 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 3 ways as a sum of consecutive naturals, for example, 62 + ... + 914.

2⁴¹⁶²⁶⁴ is an apocalyptic number.

It is an amenable number.

416264 is a deficient number, since it is larger than the sum of its proper divisors (377956).

416264 is a wasteful number, since it uses less digits than its factorization.

416264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 916 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 416264 is about 645.1852447166. The cubic root of 416264 is about 74.6660111904. Note that the first 3 decimals are identical.

Adding to 416264 its reverse (462614), we get a palindrome (878878).

It can be divided in two parts, 4 and 16264, that multiplied together give a palindrome (65056).

The spelling of 416264 in words is "four hundred sixteen thousand, two hundred sixty-four".