45988000 has 48 divisors (see below), whose sum is σ = 113002344. Its totient is φ = 18393600.

The previous prime is 45987989. The next prime is 45988001. The reversal of 45988000 is 88954.

45988000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15649936 + 30338064 = 3956^2 + 5508^2 .

It is a super-2 number, since 2×45988000² = 4229792288000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45988001) 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 7 ways as a sum of consecutive naturals, for example, 1749 + ... + 9748.

Almost surely, 2^45988000 is an apocalyptic number.

45988000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45988000 is an abundant number, since it is smaller than the sum of its proper divisors (67014344).

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

45988000 is a wasteful number, since it uses less digits than its factorization.

45988000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11522 (or 11504 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 45988000 is about 6781.4452736861. The cubic root of 45988000 is about 358.2736274539.

The spelling of 45988000 in words is "forty-five million, nine hundred eighty-eight thousand".