46509008 has 80 divisors (see below), whose sum is σ = 117492480. Its totient is φ = 17307648.

The previous prime is 46508989. The next prime is 46509019. The reversal of 46509008 is 80090564.

46509008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 23813 + ... + 25691.

It is an arithmetic number, because the mean of its divisors is an integer number (1468656).

Almost surely, 2^46509008 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 46509008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58746240).

46509008 is an abundant number, since it is smaller than the sum of its proper divisors (70983472).

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

46509008 is a wasteful number, since it uses less digits than its factorization.

46509008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 46509008 is about 6819.7513151141. The cubic root of 46509008 is about 359.6215364217.

The spelling of 46509008 in words is "forty-six million, five hundred nine thousand, eight".