46700560 has 40 divisors (see below), whose sum is σ = 109397016. Its totient is φ = 18539520.

The previous prime is 46700543. The next prime is 46700569. The reversal of 46700560 is 6500764.

It can be written as a sum of positive squares in 4 ways, for example, as 17842176 + 28858384 = 4224^2 + 5372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (46700569) 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, 8830 + ... + 13090.

Almost surely, 2^46700560 is an apocalyptic number.

46700560 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 46700560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54698508).

46700560 is an abundant number, since it is smaller than the sum of its proper divisors (62696456).

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

46700560 is a wasteful number, since it uses less digits than its factorization.

46700560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4411 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 46700560 is about 6833.7807983575. The cubic root of 46700560 is about 360.1145725861.

The spelling of 46700560 in words is "forty-six million, seven hundred thousand, five hundred sixty".