417113040 has 80 divisors (see below), whose sum is σ = 1296220608. Its totient is φ = 110957568.

The previous prime is 417113033. The next prime is 417113057. The reversal of 417113040 is 40311714.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 417112998 and 417113016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107779 + ... + 111581.

Almost surely, 2^417113040 is an apocalyptic number.

417113040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648110304).

417113040 is an abundant number, since it is smaller than the sum of its proper divisors (879107568).

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

417113040 is a wasteful number, since it uses less digits than its factorization.

417113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4276 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 417113040 is about 20423.3454654227. The cubic root of 417113040 is about 747.1674131818.

Adding to 417113040 its reverse (40311714), we get a palindrome (457424754).

The spelling of 417113040 in words is "four hundred seventeen million, one hundred thirteen thousand, forty".