417672048 has 60 divisors (see below), whose sum is σ = 1146227480. Its totient is φ = 131030016.

The previous prime is 417672011. The next prime is 417672049. The reversal of 417672048 is 840276714.

It is a junction number, because it is equal to n+sod(n) for n = 417671997 and 417672015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417672049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1183 + ... + 28926.

Almost surely, 2^417672048 is an apocalyptic number.

417672048 is a gapful number since it is divisible by the number (48) 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 417672048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573113740).

417672048 is an abundant number, since it is smaller than the sum of its proper divisors (728555432).

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

417672048 is a wasteful number, since it uses less digits than its factorization.

417672048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30154 (or 30131 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 417672048 is about 20437.0263981823. The cubic root of 417672048 is about 747.5010446550.

The spelling of 417672048 in words is "four hundred seventeen million, six hundred seventy-two thousand, forty-eight".