45488520 has 256 divisors, whose sum is σ = 189388800. Its totient is φ = 9434880.

The previous prime is 45488491. The next prime is 45488533. The reversal of 45488520 is 2588454.

45488520 is a `hidden beast` number, since 4 + 54 + 88 + 520 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82887 + ... + 83433.

It is an arithmetic number, because the mean of its divisors is an integer number (739800).

Almost surely, 2^45488520 is an apocalyptic number.

45488520 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 45488520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94694400).

45488520 is an abundant number, since it is smaller than the sum of its proper divisors (143900280).

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

45488520 is a wasteful number, since it uses less digits than its factorization.

45488520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 45488520 is about 6744.5177737181. The cubic root of 45488520 is about 356.9718217997.

The spelling of 45488520 in words is "forty-five million, four hundred eighty-eight thousand, five hundred twenty".