46638864 has 60 divisors (see below), whose sum is σ = 131390896. Its totient is φ = 15443136.

The previous prime is 46638859. The next prime is 46638869. The reversal of 46638864 is 46883664.

46638864 is a `hidden beast` number, since 4 + 6 + 638 + 8 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (46638859) and next prime (46638869).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (46638869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22479 + ... + 24465.

Almost surely, 2^46638864 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 46638864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65695448).

46638864 is an abundant number, since it is smaller than the sum of its proper divisors (84752032).

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

46638864 is a wasteful number, since it uses less digits than its factorization.

46638864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2155 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 46638864 is about 6829.2652606265. The cubic root of 46638864 is about 359.9559205289.

The spelling of 46638864 in words is "forty-six million, six hundred thirty-eight thousand, eight hundred sixty-four".