45508608 has 96 divisors (see below), whose sum is σ = 134971200. Its totient is φ = 15151104.

The previous prime is 45508601. The next prime is 45508693. The reversal of 45508608 is 80680554.

It is a happy number.

45508608 is a `hidden beast` number, since 45 + 5 + 0 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (45508601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54885 + ... + 55707.

It is an arithmetic number, because the mean of its divisors is an integer number (1405950).

Almost surely, 2^45508608 is an apocalyptic number.

45508608 is a gapful number since it is divisible by the number (48) 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 45508608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67485600).

45508608 is an abundant number, since it is smaller than the sum of its proper divisors (89462592).

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

45508608 is an equidigital number, since it uses as much as digits as its factorization.

45508608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 45508608 is about 6746.0068188522. The cubic root of 45508608 is about 357.0243610239.

The spelling of 45508608 in words is "forty-five million, five hundred eight thousand, six hundred eight".