417947712 has 224 divisors, whose sum is σ = 1433779200. Its totient is φ = 104343552.

The previous prime is 417947689. The next prime is 417947723. The reversal of 417947712 is 217749714.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331339 + ... + 332597.

It is an arithmetic number, because the mean of its divisors is an integer number (6400800).

Almost surely, 2^417947712 is an apocalyptic number.

417947712 is a gapful number since it is divisible by the number (42) 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 417947712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716889600).

417947712 is an abundant number, since it is smaller than the sum of its proper divisors (1015831488).

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

417947712 is a wasteful number, since it uses less digits than its factorization.

417947712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1303 counting only the distinct ones).

The product of its digits is 98784, while the sum is 42.

The square root of 417947712 is about 20443.7695154294. The cubic root of 417947712 is about 747.6654589864.

The spelling of 417947712 in words is "four hundred seventeen million, nine hundred forty-seven thousand, seven hundred twelve".