45743600 has 180 divisors, whose sum is σ = 137415312. Its totient is φ = 14284800.

The previous prime is 45743591. The next prime is 45743603. The reversal of 45743600 is 634754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45743603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1475585 + ... + 1475615.

Almost surely, 2^45743600 is an apocalyptic number.

45743600 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 45743600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68707656).

45743600 is an abundant number, since it is smaller than the sum of its proper divisors (91671712).

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

45743600 is a wasteful number, since it uses less digits than its factorization.

45743600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 45743600 is about 6763.4015110741. The cubic root of 45743600 is about 357.6378264600.

The spelling of 45743600 in words is "forty-five million, seven hundred forty-three thousand, six hundred".