46530160 has 40 divisors (see below), whose sum is σ = 109809936. Its totient is φ = 18332160.

The previous prime is 46530157. The next prime is 46530161. The reversal of 46530160 is 6103564.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46530161) 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, 1020 + ... + 9700.

Almost surely, 2^46530160 is an apocalyptic number.

46530160 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 46530160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54904968).

46530160 is an abundant number, since it is smaller than the sum of its proper divisors (63279776).

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

46530160 is a wasteful number, since it uses less digits than its factorization.

46530160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8761 (or 8755 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 46530160 is about 6821.3019285178. The cubic root of 46530160 is about 359.6760460188.

It can be divided in two parts, 465 and 30160, that added together give a square (30625 = 175²).

The spelling of 46530160 in words is "forty-six million, five hundred thirty thousand, one hundred sixty".