46588960 has 96 divisors (see below), whose sum is σ = 121709952. Its totient is φ = 16711680.

The previous prime is 46588951. The next prime is 46588963. The reversal of 46588960 is 6988564.

It is a self number, because there is not a number n which added to its sum of digits gives 46588960.

It is not an unprimeable number, because it can be changed into a prime (46588963) 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, 181152 + ... + 181408.

It is an arithmetic number, because the mean of its divisors is an integer number (1267812).

Almost surely, 2^46588960 is an apocalyptic number.

46588960 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 46588960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60854976).

46588960 is an abundant number, since it is smaller than the sum of its proper divisors (75120992).

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

46588960 is a wasteful number, since it uses less digits than its factorization.

46588960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 46588960 is about 6825.6105953973. The cubic root of 46588960 is about 359.8274893632.

The spelling of 46588960 in words is "forty-six million, five hundred eighty-eight thousand, nine hundred sixty".