45327600 has 150 divisors (see below), whose sum is σ = 162793400. Its totient is φ = 12078720.

The previous prime is 45327589. The next prime is 45327619. The reversal of 45327600 is 672354.

It is a happy number.

45327600 is a `hidden beast` number, since 4 + 53 + 2 + 7 + 600 = 666.

45327600 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 (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 29 ways as a sum of consecutive naturals, for example, 31701 + ... + 33099.

Almost surely, 2^45327600 is an apocalyptic number.

45327600 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 45327600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81396700).

45327600 is an abundant number, since it is smaller than the sum of its proper divisors (117465800).

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

45327600 is a wasteful number, since it uses less digits than its factorization.

45327600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 45327600 is about 6732.5775153354. The cubic root of 45327600 is about 356.5503837696.

Adding to 45327600 its reverse (672354), we get a palindrome (45999954).

It can be divided in two parts, 45 and 327600, that added together give a triangular number (327645 = T₈₀₉).

The spelling of 45327600 in words is "forty-five million, three hundred twenty-seven thousand, six hundred".