46165120 has 64 divisors (see below), whose sum is σ = 112528440. Its totient is φ = 18104320.

The previous prime is 46165111. The next prime is 46165157. The reversal of 46165120 is 2156164.

It can be written as a sum of positive squares in 4 ways, for example, as 34386496 + 11778624 = 5864^2 + 3432^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×46165120² = 4262436609228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33240 + ... + 34600.

Almost surely, 2^46165120 is an apocalyptic number.

46165120 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 46165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56264220).

46165120 is an abundant number, since it is smaller than the sum of its proper divisors (66363320).

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

46165120 is a wasteful number, since it uses less digits than its factorization.

46165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 46165120 is about 6794.4918868154. The cubic root of 46165120 is about 358.7329946170.

The spelling of 46165120 in words is "forty-six million, one hundred sixty-five thousand, one hundred twenty".