417728970 has 48 divisors (see below), whose sum is σ = 1087137792. Its totient is φ = 111287520.

The previous prime is 417728953. The next prime is 417728989. The reversal of 417728970 is 79827714.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148275 + ... + 151065.

It is an arithmetic number, because the mean of its divisors is an integer number (22648704).

Almost surely, 2^417728970 is an apocalyptic number.

417728970 is an abundant number, since it is smaller than the sum of its proper divisors (669408822).

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

417728970 is a wasteful number, since it uses less digits than its factorization.

417728970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 417728970 is about 20438.4189701650. The cubic root of 417728970 is about 747.5350005796.

The spelling of 417728970 in words is "four hundred seventeen million, seven hundred twenty-eight thousand, nine hundred seventy".