45000360 has 320 divisors, whose sum is σ = 172497600. Its totient is φ = 10450944.

The previous prime is 45000353. The next prime is 45000407. The reversal of 45000360 is 6300054.

It is a happy number.

45000360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 79 ways as a sum of consecutive naturals, for example, 1046499 + ... + 1046541.

It is an arithmetic number, because the mean of its divisors is an integer number (539055).

Almost surely, 2^45000360 is an apocalyptic number.

45000360 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 45000360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86248800).

45000360 is an abundant number, since it is smaller than the sum of its proper divisors (127497240).

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

45000360 is a wasteful number, since it uses less digits than its factorization.

45000360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 45000360 is about 6708.2307652614. The cubic root of 45000360 is about 355.6902789514.

The spelling of 45000360 in words is "forty-five million, three hundred sixty", and thus it is an aban number.