46338080 has 48 divisors (see below), whose sum is σ = 110519640. Its totient is φ = 18358272.

The previous prime is 46338053. The next prime is 46338091. The reversal of 46338080 is 8083364.

It can be written as a sum of positive squares in 4 ways, for example, as 42667024 + 3671056 = 6532^2 + 1916^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16112 + ... + 18768.

Almost surely, 2^46338080 is an apocalyptic number.

46338080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46338080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55259820).

46338080 is an abundant number, since it is smaller than the sum of its proper divisors (64181560).

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

46338080 is a wasteful number, since it uses less digits than its factorization.

46338080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 46338080 is about 6807.2079445247. The cubic root of 46338080 is about 359.1804401695.

The spelling of 46338080 in words is "forty-six million, three hundred thirty-eight thousand, eighty".