417479670 has 80 divisors (see below), whose sum is σ = 1171415520. Its totient is φ = 106482816.

The previous prime is 417479617. The next prime is 417479677. The reversal of 417479670 is 76974714.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417479677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7426 + ... + 29834.

It is an arithmetic number, because the mean of its divisors is an integer number (14642694).

Almost surely, 2^417479670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417479670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585707760).

417479670 is an abundant number, since it is smaller than the sum of its proper divisors (753935850).

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

417479670 is a wasteful number, since it uses less digits than its factorization.

417479670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22451 (or 22442 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 417479670 is about 20432.3192516170. The cubic root of 417479670 is about 747.3862617445.

The spelling of 417479670 in words is "four hundred seventeen million, four hundred seventy-nine thousand, six hundred seventy".