45508000 has 96 divisors (see below), whose sum is σ = 115734528. Its totient is φ = 17568000.

The previous prime is 45507977. The next prime is 45508003. The reversal of 45508000 is 80554.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45508003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123817 + ... + 124183.

It is an arithmetic number, because the mean of its divisors is an integer number (1205568).

Almost surely, 2^45508000 is an apocalyptic number.

45508000 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 45508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57867264).

45508000 is an abundant number, since it is smaller than the sum of its proper divisors (70226528).

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

45508000 is a wasteful number, since it uses less digits than its factorization.

45508000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 45508000 is about 6745.9617550057. The cubic root of 45508000 is about 357.0227710552.

Adding to 45508000 its reverse (80554), we get a palindrome (45588554).

The spelling of 45508000 in words is "forty-five million, five hundred eight thousand".