417220804 has 96 divisors (see below), whose sum is σ = 993484800. Its totient is φ = 148037760.

The previous prime is 417220777. The next prime is 417220807. The reversal of 417220804 is 408022714.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (417220807) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 315657 + ... + 316975.

It is an arithmetic number, because the mean of its divisors is an integer number (10348800).

Almost surely, 2^417220804 is an apocalyptic number.

417220804 is a gapful number since it is divisible by the number (44) 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 417220804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496742400).

417220804 is an abundant number, since it is smaller than the sum of its proper divisors (576263996).

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

417220804 is a wasteful number, since it uses less digits than its factorization.

417220804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 417220804 is about 20425.9835503703. The cubic root of 417220804 is about 747.2317529077.

It can be divided in two parts, 4172 and 20804, that added together give a triangular number (24976 = T₂₂₃).

The spelling of 417220804 in words is "four hundred seventeen million, two hundred twenty thousand, eight hundred four".