46708560 has 120 divisors (see below), whose sum is σ = 162344520. Its totient is φ = 12020736.

The previous prime is 46708559. The next prime is 46708573. The reversal of 46708560 is 6580764.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10419984 + 36288576 = 3228^2 + 6024^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19762 + ... + 21998.

It is an arithmetic number, because the mean of its divisors is an integer number (1352871).

Almost surely, 2^46708560 is an apocalyptic number.

46708560 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 46708560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81172260).

46708560 is an abundant number, since it is smaller than the sum of its proper divisors (115635960).

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

46708560 is a wasteful number, since it uses less digits than its factorization.

46708560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 46708560 is about 6834.3661008173. The cubic root of 46708560 is about 360.1351344529.

The spelling of 46708560 in words is "forty-six million, seven hundred eight thousand, five hundred sixty".