417462472 has 64 divisors (see below), whose sum is σ = 960318720. Its totient is φ = 166053888.

The previous prime is 417462469. The next prime is 417462473. The reversal of 417462472 is 274264714.

It is not an unprimeable number, because it can be changed into a prime (417462473) 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, 66493 + ... + 72499.

It is an arithmetic number, because the mean of its divisors is an integer number (15004980).

Almost surely, 2^417462472 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 417462472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480159360).

417462472 is an abundant number, since it is smaller than the sum of its proper divisors (542856248).

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

417462472 is a wasteful number, since it uses less digits than its factorization.

417462472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6110 (or 6106 counting only the distinct ones).

The product of its digits is 75264, while the sum is 37.

The square root of 417462472 is about 20431.8983944224. The cubic root of 417462472 is about 747.3759987893.

The spelling of 417462472 in words is "four hundred seventeen million, four hundred sixty-two thousand, four hundred seventy-two".