45638208 has 280 divisors, whose sum is σ = 170748960. Its totient is φ = 11854080.

The previous prime is 45638147. The next prime is 45638227. The reversal of 45638208 is 80283654.

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 39 ways as a sum of consecutive naturals, for example, 4148923 + ... + 4148933.

Almost surely, 2^45638208 is an apocalyptic number.

45638208 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 45638208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85374480).

45638208 is an abundant number, since it is smaller than the sum of its proper divisors (125110752).

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

45638208 is an equidigital number, since it uses as much as digits as its factorization.

45638208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 45638208 is about 6755.6056723287. The cubic root of 45638208 is about 357.3629526697.

The spelling of 45638208 in words is "forty-five million, six hundred thirty-eight thousand, two hundred eight".