46346880 has 128 divisors (see below), whose sum is σ = 149817600. Its totient is φ = 12185600.

The previous prime is 46346821. The next prime is 46346887. The reversal of 46346880 is 8864364.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (46346887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193801 + ... + 194039.

It is an arithmetic number, because the mean of its divisors is an integer number (1170450).

Almost surely, 2^46346880 is an apocalyptic number.

46346880 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 46346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74908800).

46346880 is an abundant number, since it is smaller than the sum of its proper divisors (103470720).

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

46346880 is a wasteful number, since it uses less digits than its factorization.

46346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 46346880 is about 6807.8542875123. The cubic root of 46346880 is about 359.2031758821.

The spelling of 46346880 in words is "forty-six million, three hundred forty-six thousand, eight hundred eighty".