45936000 has 384 divisors, whose sum is σ = 186170400. Its totient is φ = 10752000.

The previous prime is 45935987. The next prime is 45936041. The reversal of 45936000 is 63954.

It is a happy number.

45936000 is a `hidden beast` number, since 4 + 59 + 3 + 600 + 0 = 666.

45936000 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 (384).

It is a super-2 number, since 2×45936000² = 4220232192000000, which contains 22 as substring.

It is a congruent number.

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, 1583986 + ... + 1584014.

Almost surely, 2^45936000 is an apocalyptic number.

45936000 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 45936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93085200).

45936000 is an abundant number, since it is smaller than the sum of its proper divisors (140234400).

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

45936000 is a wasteful number, since it uses less digits than its factorization.

45936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 45936000 is about 6777.6101982926. The cubic root of 45936000 is about 358.1385396414.

Adding to 45936000 its reverse (63954), we get a palindrome (45999954).

The spelling of 45936000 in words is "forty-five million, nine hundred thirty-six thousand".