45744300 has 216 divisors, whose sum is σ = 168176736. Its totient is φ = 10183680.

The previous prime is 45744299. The next prime is 45744373. The reversal of 45744300 is 344754.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 333832 + ... + 333968.

It is an arithmetic number, because the mean of its divisors is an integer number (778596).

Almost surely, 2^45744300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45744300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84088368).

45744300 is an abundant number, since it is smaller than the sum of its proper divisors (122432436).

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

45744300 is a wasteful number, since it uses less digits than its factorization.

45744300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 45744300 is about 6763.4532599849. The cubic root of 45744300 is about 357.6396507240.

The spelling of 45744300 in words is "forty-five million, seven hundred forty-four thousand, three hundred".