417005742 has 8 divisors (see below), whose sum is σ = 834011496. Its totient is φ = 139001912.

The previous prime is 417005737. The next prime is 417005747. The reversal of 417005742 is 247500714.

It is an interprime number because it is at equal distance from previous prime (417005737) and next prime (417005747).

It is a sphenic number, since it is the product of 3 distinct primes.

417005742 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417005747) 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 3 ways as a sum of consecutive naturals, for example, 34750473 + ... + 34750484.

It is an arithmetic number, because the mean of its divisors is an integer number (104251437).

Almost surely, 2^417005742 is an apocalyptic number.

417005742 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

417005742 is a wasteful number, since it uses less digits than its factorization.

417005742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69500962.

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

The square root of 417005742 is about 20420.7184496530. The cubic root of 417005742 is about 747.1033406669.

The spelling of 417005742 in words is "four hundred seventeen million, five thousand, seven hundred forty-two".