45724600 has 72 divisors (see below), whose sum is σ = 109914840. Its totient is φ = 17688960.

The previous prime is 45724579. The next prime is 45724603. The reversal of 45724600 is 642754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45724603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 273717 + ... + 273883.

It is an arithmetic number, because the mean of its divisors is an integer number (1526595).

Almost surely, 2^45724600 is an apocalyptic number.

45724600 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 45724600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54957420).

45724600 is an abundant number, since it is smaller than the sum of its proper divisors (64190240).

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

45724600 is a wasteful number, since it uses less digits than its factorization.

45724600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 45724600 is about 6761.9967465239. The cubic root of 45724600 is about 357.5883036144.

The spelling of 45724600 in words is "forty-five million, seven hundred twenty-four thousand, six hundred".