45584240 has 80 divisors (see below), whose sum is σ = 116430048. Its totient is φ = 16493568.

The previous prime is 45584233. The next prime is 45584243. The reversal of 45584240 is 4248554.

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

It is a junction number, because it is equal to n+sod(n) for n = 45584197 and 45584206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45584243) 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, 54707 + ... + 55533.

Almost surely, 2^45584240 is an apocalyptic number.

45584240 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 45584240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58215024).

45584240 is an abundant number, since it is smaller than the sum of its proper divisors (70845808).

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

45584240 is a wasteful number, since it uses less digits than its factorization.

45584240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

The square root of 45584240 is about 6751.6101783204. The cubic root of 45584240 is about 357.2220344073. Note that the first 3 decimals are identical.

The spelling of 45584240 in words is "forty-five million, five hundred eighty-four thousand, two hundred forty".