46723560 has 128 divisors (see below), whose sum is σ = 153740160. Its totient is φ = 11289600.

The previous prime is 46723519. The next prime is 46723561. The reversal of 46723560 is 6532764.

46723560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (46723561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94915 + ... + 95405.

It is an arithmetic number, because the mean of its divisors is an integer number (1201095).

Almost surely, 2^46723560 is an apocalyptic number.

46723560 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 46723560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76870080).

46723560 is an abundant number, since it is smaller than the sum of its proper divisors (107016600).

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

46723560 is a wasteful number, since it uses less digits than its factorization.

46723560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 46723560 is about 6835.4634078459. The cubic root of 46723560 is about 360.1736816261.

The spelling of 46723560 in words is "forty-six million, seven hundred twenty-three thousand, five hundred sixty".