45749600 has 144 divisors (see below), whose sum is σ = 124023312. Its totient is φ = 16373760.

The previous prime is 45749593. The next prime is 45749609. The reversal of 45749600 is 694754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45749609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551159 + ... + 551241.

It is an arithmetic number, because the mean of its divisors is an integer number (861273).

Almost surely, 2^45749600 is an apocalyptic number.

45749600 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 45749600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62011656).

45749600 is an abundant number, since it is smaller than the sum of its proper divisors (78273712).

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

45749600 is a wasteful number, since it uses less digits than its factorization.

45749600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 45749600 is about 6763.8450603189. The cubic root of 45749600 is about 357.6534624044.

The spelling of 45749600 in words is "forty-five million, seven hundred forty-nine thousand, six hundred".