45976140 has 96 divisors (see below), whose sum is σ = 163484160. Its totient is φ = 10507968.

The previous prime is 45976123. The next prime is 45976141. The reversal of 45976140 is 4167954.

45976140 is a `hidden beast` number, since 4 + 597 + 61 + 4 + 0 = 666.

45976140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45976140² = 4227610898599200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45976095 and 45976104.

It is not an unprimeable number, because it can be changed into a prime (45976141) 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 31 ways as a sum of consecutive naturals, for example, 2302 + ... + 9861.

It is an arithmetic number, because the mean of its divisors is an integer number (1702960).

Almost surely, 2^45976140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45976140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81742080).

45976140 is an abundant number, since it is smaller than the sum of its proper divisors (117508020).

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

45976140 is a wasteful number, since it uses less digits than its factorization.

45976140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12188 (or 12180 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 45976140 is about 6780.5707724350. The cubic root of 45976140 is about 358.2428260090.

The spelling of 45976140 in words is "forty-five million, nine hundred seventy-six thousand, one hundred forty".