45361360 has 80 divisors (see below), whose sum is σ = 121152960. Its totient is φ = 15621120.

The previous prime is 45361357. The next prime is 45361361. The reversal of 45361360 is 6316354.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45361361) 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, 15364 + ... + 18076.

It is an arithmetic number, because the mean of its divisors is an integer number (1514412).

Almost surely, 2^45361360 is an apocalyptic number.

45361360 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 45361360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60576480).

45361360 is an abundant number, since it is smaller than the sum of its proper divisors (75791600).

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

45361360 is a wasteful number, since it uses less digits than its factorization.

45361360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 45361360 is about 6735.0842607944. The cubic root of 45361360 is about 356.6388813867.

The spelling of 45361360 in words is "forty-five million, three hundred sixty-one thousand, three hundred sixty".