416516532 has 48 divisors (see below), whose sum is σ = 983001600. Its totient is φ = 137259360.

The previous prime is 416516497. The next prime is 416516539. The reversal of 416516532 is 235615614.

It is a junction number, because it is equal to n+sod(n) for n = 416516493 and 416516502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416516539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452769 + ... + 453687.

It is an arithmetic number, because the mean of its divisors is an integer number (20479200).

Almost surely, 2^416516532 is an apocalyptic number.

It is an amenable number.

416516532 is an abundant number, since it is smaller than the sum of its proper divisors (566485068).

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

416516532 is a wasteful number, since it uses less digits than its factorization.

416516532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1314 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 416516532 is about 20408.7366585980. The cubic root of 416516532 is about 746.8110717550.

The spelling of 416516532 in words is "four hundred sixteen million, five hundred sixteen thousand, five hundred thirty-two".