45381360 has 80 divisors (see below), whose sum is σ = 141624864. Its totient is φ = 12020736.

The previous prime is 45381359. The next prime is 45381361. The reversal of 45381360 is 6318354.

It is an interprime number because it is at equal distance from previous prime (45381359) and next prime (45381361).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45381361) 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, 40974 + ... + 42066.

Almost surely, 2^45381360 is an apocalyptic number.

45381360 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 45381360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70812432).

45381360 is an abundant number, since it is smaller than the sum of its proper divisors (96243504).

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

45381360 is a wasteful number, since it uses less digits than its factorization.

45381360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 45381360 is about 6736.5688595902. The cubic root of 45381360 is about 356.6912881752.

The spelling of 45381360 in words is "forty-five million, three hundred eighty-one thousand, three hundred sixty".