417630096 has 135 divisors (see below), whose sum is σ = 1275341457. Its totient is φ = 127520640.

The previous prime is 417630079. The next prime is 417630119. The reversal of 417630096 is 690036714.

The square root of 417630096 is 20436.

It is a perfect power (a square), and thus also a powerful number.

417630096 is a `hidden beast` number, since 4 + 17 + 630 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61779600 + 355850496 = 7860^2 + 18864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 417630096.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3187951 + ... + 3188081.

Almost surely, 2^417630096 is an apocalyptic number.

417630096 is the 20436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417630096

417630096 is an abundant number, since it is smaller than the sum of its proper divisors (857711361).

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

417630096 is a wasteful number, since it uses less digits than its factorization.

417630096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The cubic root of 417630096 is about 747.4760168739.

Multiplying 417630096 by its sum of digits (36), we get a square (15034683456 = 122616²).

417630096 divided by its sum of digits (36) gives a square (11600836 = 3406²).

The spelling of 417630096 in words is "four hundred seventeen million, six hundred thirty thousand, ninety-six".