46580464 has 40 divisors (see below), whose sum is σ = 104323680. Its totient is φ = 19734528.

The previous prime is 46580461. The next prime is 46580489. The reversal of 46580464 is 46408564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46580461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7632 + ... + 12304.

It is an arithmetic number, because the mean of its divisors is an integer number (2608092).

Almost surely, 2^46580464 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 46580464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52161840).

46580464 is an abundant number, since it is smaller than the sum of its proper divisors (57743216).

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

46580464 is a wasteful number, since it uses less digits than its factorization.

46580464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4777 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 46580464 is about 6824.9882051180. The cubic root of 46580464 is about 359.8056152239.

The spelling of 46580464 in words is "forty-six million, five hundred eighty thousand, four hundred sixty-four".