46642000 has 40 divisors (see below), whose sum is σ = 112785192. Its totient is φ = 18656000.

The previous prime is 46641997. The next prime is 46642019. The reversal of 46642000 is 24664.

46642000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2446096 + 44195904 = 1564^2 + 6648^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9661 + ... + 13660.

Almost surely, 2^46642000 is an apocalyptic number.

46642000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46642000 is an abundant number, since it is smaller than the sum of its proper divisors (66143192).

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

46642000 is a wasteful number, since it uses less digits than its factorization.

46642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23344 (or 23328 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 46642000 is about 6829.4948568690. The cubic root of 46642000 is about 359.9639881673.

Adding to 46642000 its reverse (24664), we get a palindrome (46666664).

The spelling of 46642000 in words is "forty-six million, six hundred forty-two thousand".