45518760 has 224 divisors, whose sum is σ = 176279040. Its totient is φ = 10357632.

The previous prime is 45518743. The next prime is 45518761. The reversal of 45518760 is 6781554.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45518761) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 204009 + ... + 204231.

It is an arithmetic number, because the mean of its divisors is an integer number (786960).

Almost surely, 2^45518760 is an apocalyptic number.

45518760 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 45518760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88139520).

45518760 is an abundant number, since it is smaller than the sum of its proper divisors (130760280).

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

45518760 is a wasteful number, since it uses less digits than its factorization.

45518760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 45518760 is about 6746.7592220265. The cubic root of 45518760 is about 357.0509072239.

The spelling of 45518760 in words is "forty-five million, five hundred eighteen thousand, seven hundred sixty".