46788560 has 80 divisors (see below), whose sum is σ = 133908096. Its totient is φ = 14805504.

The previous prime is 46788551. The next prime is 46788587. The reversal of 46788560 is 6588764.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4067 + ... + 10493.

Almost surely, 2^46788560 is an apocalyptic number.

46788560 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 46788560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66954048).

46788560 is an abundant number, since it is smaller than the sum of its proper divisors (87119536).

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

46788560 is a wasteful number, since it uses less digits than its factorization.

46788560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460 (or 6454 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 46788560 is about 6840.2163708468. The cubic root of 46788560 is about 360.3406241093.

The spelling of 46788560 in words is "forty-six million, seven hundred eighty-eight thousand, five hundred sixty".