45088000 has 72 divisors (see below), whose sum is σ = 112399560. Its totient is φ = 18022400.

The previous prime is 45087983. The next prime is 45088009. The reversal of 45088000 is 88054.

It can be written as a sum of positive squares in 4 ways, for example, as 12278016 + 32809984 = 3504^2 + 5728^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45088009) 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, 31296 + ... + 32704.

It is an arithmetic number, because the mean of its divisors is an integer number (1561105).

Almost surely, 2^45088000 is an apocalyptic number.

45088000 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 45088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56199780).

45088000 is an abundant number, since it is smaller than the sum of its proper divisors (67311560).

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

45088000 is an equidigital number, since it uses as much as digits as its factorization.

45088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 45088000 is about 6714.7598616779. The cubic root of 45088000 is about 355.9210362255.

The spelling of 45088000 in words is "forty-five million, eighty-eight thousand".