45173760 has 176 divisors, whose sum is σ = 153868896. Its totient is φ = 11272192.

The previous prime is 45173753. The next prime is 45173761. The reversal of 45173760 is 6737154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45173761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261034 + ... + 261206.

Almost surely, 2^45173760 is an apocalyptic number.

45173760 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 45173760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76934448).

45173760 is an abundant number, since it is smaller than the sum of its proper divisors (108695136).

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

45173760 is a wasteful number, since it uses less digits than its factorization.

45173760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 45173760 is about 6721.1427599777. The cubic root of 45173760 is about 356.1465541446.

The spelling of 45173760 in words is "forty-five million, one hundred seventy-three thousand, seven hundred sixty".