417507420 has 192 divisors, whose sum is σ = 1365590016. Its totient is φ = 94187520.

The previous prime is 417507407. The next prime is 417507421. The reversal of 417507420 is 24705714.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417507421) 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 63 ways as a sum of consecutive naturals, for example, 1424794 + ... + 1425086.

It is an arithmetic number, because the mean of its divisors is an integer number (7112448).

Almost surely, 2^417507420 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 417507420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682795008).

417507420 is an abundant number, since it is smaller than the sum of its proper divisors (948082596).

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

417507420 is a wasteful number, since it uses less digits than its factorization.

417507420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 417507420 is about 20432.9983115548. The cubic root of 417507420 is about 747.4028210413.

The spelling of 417507420 in words is "four hundred seventeen million, five hundred seven thousand, four hundred twenty".