46580144 has 40 divisors (see below), whose sum is σ = 97702080. Its totient is φ = 21385728.

The previous prime is 46580143. The next prime is 46580147. The reversal of 46580144 is 44108564.

It is a self number, because there is not a number n which added to its sum of digits gives 46580144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46580143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49244 + ... + 50180.

It is an arithmetic number, because the mean of its divisors is an integer number (2442552).

Almost surely, 2^46580144 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 46580144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48851040).

46580144 is an abundant number, since it is smaller than the sum of its proper divisors (51121936).

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

46580144 is a wasteful number, since it uses less digits than its factorization.

46580144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 46580144 is about 6824.9647618138. The cubic root of 46580144 is about 359.8047912872.

The spelling of 46580144 in words is "forty-six million, five hundred eighty thousand, one hundred forty-four".