46545120 has 72 divisors (see below), whose sum is σ = 158840136. Its totient is φ = 12411648.

The previous prime is 46545113. The next prime is 46545137. The reversal of 46545120 is 2154564.

46545120 is a `hidden beast` number, since 4 + 654 + 5 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14722 + ... + 17601.

It is an arithmetic number, because the mean of its divisors is an integer number (2206113).

Almost surely, 2^46545120 is an apocalyptic number.

46545120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46545120 is an abundant number, since it is smaller than the sum of its proper divisors (112295016).

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

46545120 is a wasteful number, since it uses less digits than its factorization.

46545120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32344 (or 32333 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 46545120 is about 6822.3984052531. The cubic root of 46545120 is about 359.7145885978.

Adding to 46545120 its reverse (2154564), we get a palindrome (48699684).

It can be divided in two parts, 46545 and 120, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 46545120 in words is "forty-six million, five hundred forty-five thousand, one hundred twenty".