417604896 has 120 divisors (see below), whose sum is σ = 1234316160. Its totient is φ = 138506112.

The previous prime is 417604879. The next prime is 417604897. The reversal of 417604896 is 698406714.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417604897) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 951045 + ... + 951483.

It is an arithmetic number, because the mean of its divisors is an integer number (10285968).

Almost surely, 2^417604896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417604896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617158080).

417604896 is an abundant number, since it is smaller than the sum of its proper divisors (816711264).

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

417604896 is a wasteful number, since it uses less digits than its factorization.

417604896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 417604896 is about 20435.3834316853. The cubic root of 417604896 is about 747.4609822179.

It can be divided in two parts, 41760 and 4896, that added together give a 6-th power (46656 = 6⁶).

The spelling of 417604896 in words is "four hundred seventeen million, six hundred four thousand, eight hundred ninety-six".