417764412 has 96 divisors (see below), whose sum is σ = 1174824000. Its totient is φ = 127616256.

The previous prime is 417764411. The next prime is 417764429. The reversal of 417764412 is 214467714.

It is a happy number.

417764412 is a `hidden beast` number, since 4 + 1 + 7 + 7 + 644 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417764411) 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, 208198 + ... + 210194.

It is an arithmetic number, because the mean of its divisors is an integer number (12237750).

Almost surely, 2^417764412 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 417764412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587412000).

417764412 is an abundant number, since it is smaller than the sum of its proper divisors (757059588).

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

417764412 is a wasteful number, since it uses less digits than its factorization.

417764412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2164 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 417764412 is about 20439.2859953571. The cubic root of 417764412 is about 747.5561413895.

The spelling of 417764412 in words is "four hundred seventeen million, seven hundred sixty-four thousand, four hundred twelve".