45365760 has 240 divisors, whose sum is σ = 172355040. Its totient is φ = 10936320.

The previous prime is 45365759. The next prime is 45365779. The reversal of 45365760 is 6756354.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253351 + ... + 253529.

It is an arithmetic number, because the mean of its divisors is an integer number (718146).

Almost surely, 2^45365760 is an apocalyptic number.

45365760 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 45365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86177520).

45365760 is an abundant number, since it is smaller than the sum of its proper divisors (126989280).

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

45365760 is a wasteful number, since it uses less digits than its factorization.

45365760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 45365760 is about 6735.4109006058. The cubic root of 45365760 is about 356.6504122017.

It can be divided in two parts, 4536 and 5760, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 45365760 in words is "forty-five million, three hundred sixty-five thousand, seven hundred sixty".