45538920 has 192 divisors, whose sum is σ = 179262720. Its totient is φ = 9787392.

The previous prime is 45538901. The next prime is 45538951. The reversal of 45538920 is 2983554.

45538920 is a `hidden beast` number, since 4 + 553 + 89 + 20 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42309 + ... + 43371.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 2^45538920 is an apocalyptic number.

45538920 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 45538920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

45538920 is an abundant number, since it is smaller than the sum of its proper divisors (133723800).

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

45538920 is a wasteful number, since it uses less digits than its factorization.

45538920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 45538920 is about 6748.2531072864. The cubic root of 45538920 is about 357.1036113828.

The spelling of 45538920 in words is "forty-five million, five hundred thirty-eight thousand, nine hundred twenty".