45538584 has 128 divisors (see below), whose sum is σ = 145152000. Its totient is φ = 11579904.

The previous prime is 45538583. The next prime is 45538589. The reversal of 45538584 is 48583554.

It is a super-3 number, since 3×45538584³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45538583) 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, 62977 + ... + 63695.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2^45538584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45538584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

45538584 is an abundant number, since it is smaller than the sum of its proper divisors (99613416).

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

45538584 is a wasteful number, since it uses less digits than its factorization.

45538584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 773 counting only the distinct ones).

The product of its digits is 384000, while the sum is 42.

The square root of 45538584 is about 6748.2282119087. The cubic root of 45538584 is about 357.1027331076.

The spelling of 45538584 in words is "forty-five million, five hundred thirty-eight thousand, five hundred eighty-four".