45932040 has 192 divisors, whose sum is σ = 186226560. Its totient is φ = 9538560.

The previous prime is 45932039. The next prime is 45932057. The reversal of 45932040 is 4023954.

45932040 is a `hidden beast` number, since 459 + 3 + 204 + 0 = 666.

45932040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45931995 and 45932013.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 26892 + ... + 28548.

It is an arithmetic number, because the mean of its divisors is an integer number (969930).

Almost surely, 2^45932040 is an apocalyptic number.

45932040 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 45932040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93113280).

45932040 is an abundant number, since it is smaller than the sum of its proper divisors (140294520).

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

45932040 is a wasteful number, since it uses less digits than its factorization.

45932040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 45932040 is about 6777.3180536256. The cubic root of 45932040 is about 358.1282480083.

Adding to 45932040 its reverse (4023954), we get a palindrome (49955994).

The spelling of 45932040 in words is "forty-five million, nine hundred thirty-two thousand, forty".