46491120 has 120 divisors (see below), whose sum is σ = 168176736. Its totient is φ = 11441664.

The previous prime is 46491113. The next prime is 46491121. The reversal of 46491120 is 2119464.

46491120 is a `hidden beast` number, since 4 + 649 + 1 + 12 + 0 = 666.

46491120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×46491120² = 4322848477708800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46491121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6877 + ... + 11843.

Almost surely, 2^46491120 is an apocalyptic number.

46491120 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 46491120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84088368).

46491120 is an abundant number, since it is smaller than the sum of its proper divisors (121685616).

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

46491120 is a wasteful number, since it uses less digits than its factorization.

46491120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4999 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 46491120 is about 6818.4397042139. The cubic root of 46491120 is about 359.5754253906.

The spelling of 46491120 in words is "forty-six million, four hundred ninety-one thousand, one hundred twenty".