45530520 has 128 divisors (see below), whose sum is σ = 158630400. Its totient is φ = 10238976.

The previous prime is 45530519. The next prime is 45530521. The reversal of 45530520 is 2503554.

It is an interprime number because it is at equal distance from previous prime (45530519) and next prime (45530521).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45530521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55876 + ... + 56684.

It is an arithmetic number, because the mean of its divisors is an integer number (1239300).

Almost surely, 2^45530520 is an apocalyptic number.

45530520 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 45530520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79315200).

45530520 is an abundant number, since it is smaller than the sum of its proper divisors (113099880).

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

45530520 is a wasteful number, since it uses less digits than its factorization.

45530520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 45530520 is about 6747.6306952885. The cubic root of 45530520 is about 357.0816532073.

The spelling of 45530520 in words is "forty-five million, five hundred thirty thousand, five hundred twenty".