45427360 has 96 divisors (see below), whose sum is σ = 119532672. Its totient is φ = 16174080.

The previous prime is 45427357. The next prime is 45427363. The reversal of 45427360 is 6372454.

It is an interprime number because it is at equal distance from previous prime (45427357) and next prime (45427363).

It is not an unprimeable number, because it can be changed into a prime (45427363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93037 + ... + 93523.

It is an arithmetic number, because the mean of its divisors is an integer number (1245132).

Almost surely, 2^45427360 is an apocalyptic number.

45427360 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 45427360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59766336).

45427360 is an abundant number, since it is smaller than the sum of its proper divisors (74105312).

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

45427360 is a wasteful number, since it uses less digits than its factorization.

45427360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 45427360 is about 6739.9821958222. The cubic root of 45427360 is about 356.8117653825.

The spelling of 45427360 in words is "forty-five million, four hundred twenty-seven thousand, three hundred sixty".