45278208 has 132 divisors (see below), whose sum is σ = 138909420. Its totient is φ = 14204928.

The previous prime is 45278203. The next prime is 45278221. The reversal of 45278208 is 80287254.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 24920064 + 20358144 = 4992^2 + 4512^2 .

It is a super-2 number, since 2×45278208² = 4100232239382528, which contains 22 as substring.

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 (45278201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2663416 + ... + 2663432.

Almost surely, 2^45278208 is an apocalyptic number.

45278208 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 45278208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69454710).

45278208 is an abundant number, since it is smaller than the sum of its proper divisors (93631212).

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

45278208 is an equidigital number, since it uses as much as digits as its factorization.

45278208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 45278208 is about 6728.9083810080. The cubic root of 45278208 is about 356.4208296124.

The spelling of 45278208 in words is "forty-five million, two hundred seventy-eight thousand, two hundred eight".