45723600 has 180 divisors, whose sum is σ = 171054156. Its totient is φ = 11243520.

The previous prime is 45723599. The next prime is 45723607. The reversal of 45723600 is 632754.

It is a happy number.

45723600 is a `hidden beast` number, since 4 + 57 + 2 + 3 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 242064 + 45481536 = 492^2 + 6744^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45723607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46312 + ... + 47288.

Almost surely, 2^45723600 is an apocalyptic number.

45723600 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 45723600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85527078).

45723600 is an abundant number, since it is smaller than the sum of its proper divisors (125330556).

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

45723600 is a wasteful number, since it uses less digits than its factorization.

45723600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1000 counting only the distinct ones).

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

The square root of 45723600 is about 6761.9228034635. The cubic root of 45723600 is about 357.5856967689.

The spelling of 45723600 in words is "forty-five million, seven hundred twenty-three thousand, six hundred".