416974608 has 160 divisors (see below), whose sum is σ = 1294857600. Its totient is φ = 128024064.

The previous prime is 416974603. The next prime is 416974609. The reversal of 416974608 is 806479614.

It is not an unprimeable number, because it can be changed into a prime (416974603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303010 + ... + 304382.

It is an arithmetic number, because the mean of its divisors is an integer number (8092860).

Almost surely, 2^416974608 is an apocalyptic number.

416974608 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 416974608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647428800).

416974608 is an abundant number, since it is smaller than the sum of its proper divisors (877882992).

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

416974608 is a wasteful number, since it uses less digits than its factorization.

416974608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1434 counting only the distinct ones).

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

The square root of 416974608 is about 20419.9561214024. The cubic root of 416974608 is about 747.0847470826.

The spelling of 416974608 in words is "four hundred sixteen million, nine hundred seventy-four thousand, six hundred eight".