46638816 has 48 divisors (see below), whose sum is σ = 139918464. Its totient is φ = 13325184.

The previous prime is 46638763. The next prime is 46638817. The reversal of 46638816 is 61883664.

46638816 = T₄₁₉ + T₄₂₀ + ... + T₇₀₆.

It is a happy number.

46638816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46638817) 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 7 ways as a sum of consecutive naturals, for example, 34030 + ... + 35373.

It is an arithmetic number, because the mean of its divisors is an integer number (2914968).

Almost surely, 2^46638816 is an apocalyptic number.

It is an amenable number.

46638816 is an abundant number, since it is smaller than the sum of its proper divisors (93279648).

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

46638816 is a wasteful number, since it uses less digits than its factorization.

46638816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69423 (or 69415 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 46638816 is about 6829.2617463383. The cubic root of 46638816 is about 359.9557970419.

The spelling of 46638816 in words is "forty-six million, six hundred thirty-eight thousand, eight hundred sixteen".