45583360 has 88 divisors (see below), whose sum is σ = 113485680. Its totient is φ = 17547264.

The previous prime is 45583333. The next prime is 45583367. The reversal of 45583360 is 6338554.

It is not an unprimeable number, because it can be changed into a prime (45583367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148327 + ... + 148633.

It is an arithmetic number, because the mean of its divisors is an integer number (1289610).

Almost surely, 2^45583360 is an apocalyptic number.

45583360 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 45583360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56742840).

45583360 is an abundant number, since it is smaller than the sum of its proper divisors (67902320).

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

45583360 is a wasteful number, since it uses less digits than its factorization.

45583360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 45583360 is about 6751.5450083666. The cubic root of 45583360 is about 357.2197356785.

The spelling of 45583360 in words is "forty-five million, five hundred eighty-three thousand, three hundred sixty".