46008564 has 48 divisors (see below), whose sum is σ = 123075456. Its totient is φ = 13104000.

The previous prime is 46008563. The next prime is 46008569. The reversal of 46008564 is 46580064.

It is a happy number.

46008564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46008564² = 4233575922684192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46008563) 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 15 ways as a sum of consecutive naturals, for example, 34714 + ... + 36014.

It is an arithmetic number, because the mean of its divisors is an integer number (2564072).

Almost surely, 2^46008564 is an apocalyptic number.

It is an amenable number.

46008564 is an abundant number, since it is smaller than the sum of its proper divisors (77066892).

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

46008564 is a wasteful number, since it uses less digits than its factorization.

46008564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 46008564 is about 6782.9613001992. The cubic root of 46008564 is about 358.3270213899.

The spelling of 46008564 in words is "forty-six million, eight thousand, five hundred sixty-four".