45008000 has 128 divisors (see below), whose sum is σ = 116953200. Its totient is φ = 17203200.

The previous prime is 45007997. The next prime is 45008009. The reversal of 45008000 is 80054.

It can be written as a sum of positive squares in 8 ways, for example, as 1236544 + 43771456 = 1112^2 + 6616^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 45008000.

It is not an unprimeable number, because it can be changed into a prime (45008009) 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, 463952 + ... + 464048.

Almost surely, 2^45008000 is an apocalyptic number.

45008000 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 45008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58476600).

45008000 is an abundant number, since it is smaller than the sum of its proper divisors (71945200).

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

45008000 is an equidigital number, since it uses as much as digits as its factorization.

45008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 45008000 is about 6708.8001907942. The cubic root of 45008000 is about 355.7104070863.

Adding to 45008000 its reverse (80054), we get a palindrome (45088054).

It can be divided in two parts, 4500 and 8000, that multiplied together give a square (36000000 = 6000²).

The spelling of 45008000 in words is "forty-five million, eight thousand".