45530120 has 64 divisors (see below), whose sum is σ = 106254720. Its totient is φ = 17547264.

The previous prime is 45530119. The next prime is 45530141. The reversal of 45530120 is 2103554.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 45530092 and 45530101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177032 + ... + 177288.

It is an arithmetic number, because the mean of its divisors is an integer number (1660230).

Almost surely, 2^45530120 is an apocalyptic number.

45530120 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 45530120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53127360).

45530120 is an abundant number, since it is smaller than the sum of its proper divisors (60724600).

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

45530120 is a wasteful number, since it uses less digits than its factorization.

45530120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 45530120 is about 6747.6010551899. The cubic root of 45530120 is about 357.0806075125.

Adding to 45530120 its reverse (2103554), we get a palindrome (47633674).

The spelling of 45530120 in words is "forty-five million, five hundred thirty thousand, one hundred twenty".