45081360 has 140 divisors (see below), whose sum is σ = 157352652. Its totient is φ = 12006144.

The previous prime is 45081313. The next prime is 45081383. The reversal of 45081360 is 6318054.

45081360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8503056 + 36578304 = 2916^2 + 6048^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 57934 + ... + 58706.

Almost surely, 2^45081360 is an apocalyptic number.

45081360 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 45081360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78676326).

45081360 is an abundant number, since it is smaller than the sum of its proper divisors (112271292).

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

45081360 is an equidigital number, since it uses as much as digits as its factorization.

45081360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45081360 is about 6714.2654103036. The cubic root of 45081360 is about 355.9035634929.

It can be divided in two parts, 450 and 81360, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 45081360 in words is "forty-five million, eighty-one thousand, three hundred sixty".