45745700 has 144 divisors (see below), whose sum is σ = 133574784. Its totient is φ = 13132800.

The previous prime is 45745697. The next prime is 45745723. The reversal of 45745700 is 754754.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99872 + ... + 100328.

Almost surely, 2^45745700 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 45745700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66787392).

45745700 is an abundant number, since it is smaller than the sum of its proper divisors (87829084).

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

45745700 is a wasteful number, since it uses less digits than its factorization.

45745700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 45745700 is about 6763.5567566185. The cubic root of 45745700 is about 357.6432991961.

It can be divided in two parts, 457 and 45700, that multiplied together give a square (20884900 = 4570²).

The spelling of 45745700 in words is "forty-five million, seven hundred forty-five thousand, seven hundred".