416805942 has 32 divisors (see below), whose sum is σ = 953655552. Its totient is φ = 118967904.

The previous prime is 416805899. The next prime is 416805947. The reversal of 416805942 is 249508614.

It is a super-3 number, since 3×416805942³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 416805942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416805947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42748 + ... + 51584.

It is an arithmetic number, because the mean of its divisors is an integer number (29801736).

Almost surely, 2^416805942 is an apocalyptic number.

416805942 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

416805942 is an abundant number, since it is smaller than the sum of its proper divisors (536849610).

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

416805942 is a wasteful number, since it uses less digits than its factorization.

416805942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9972.

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 416805942 is about 20415.8257731594. The cubic root of 416805942 is about 746.9840017075.

The spelling of 416805942 in words is "four hundred sixteen million, eight hundred five thousand, nine hundred forty-two".