417424720 has 20 divisors (see below), whose sum is σ = 970512660. Its totient is φ = 166969856.

The previous prime is 417424663. The next prime is 417424727. The reversal of 417424720 is 27424714.

It can be written as a sum of positive squares in 2 ways, for example, as 110754576 + 306670144 = 10524^2 + 17512^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417424727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2608825 + ... + 2608984.

It is an arithmetic number, because the mean of its divisors is an integer number (48525633).

Almost surely, 2^417424720 is an apocalyptic number.

417424720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

417424720 is an abundant number, since it is smaller than the sum of its proper divisors (553087940).

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

417424720 is a wasteful number, since it uses less digits than its factorization.

417424720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5217822 (or 5217816 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 31.

The square root of 417424720 is about 20430.9745239918. The cubic root of 417424720 is about 747.3534691879.

The spelling of 417424720 in words is "four hundred seventeen million, four hundred twenty-four thousand, seven hundred twenty".