45828240 has 80 divisors (see below), whose sum is σ = 142812288. Its totient is φ = 12156928.

The previous prime is 45828229. The next prime is 45828241. The reversal of 45828240 is 4282854.

It is a happy number.

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 (45828241) 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, 61309 + ... + 62051.

Almost surely, 2^45828240 is an apocalyptic number.

45828240 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 45828240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71406144).

45828240 is an abundant number, since it is smaller than the sum of its proper divisors (96984048).

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

45828240 is a wasteful number, since it uses less digits than its factorization.

45828240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 45828240 is about 6769.6558258157. The cubic root of 45828240 is about 357.8582712498.

The spelling of 45828240 in words is "forty-five million, eight hundred twenty-eight thousand, two hundred forty".