416538 has 24 divisors (see below), whose sum is σ = 917748. Its totient is φ = 136512.

The previous prime is 416531. The next prime is 416543. The reversal of 416538 is 835614.

416538 is a `hidden beast` number, since 4 + 1 + 653 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 393129 + 23409 = 627^2 + 153^2 .

It is not an unprimeable number, because it can be changed into a prime (416531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1156 + ... + 1472.

2⁴¹⁶⁵³⁸ is an apocalyptic number.

416538 is an abundant number, since it is smaller than the sum of its proper divisors (501210).

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

416538 is a wasteful number, since it uses less digits than its factorization.

416538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 395 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 416538 is about 645.3975519012. The cubic root of 416538 is about 74.6823902190.

The spelling of 416538 in words is "four hundred sixteen thousand, five hundred thirty-eight".