45575240 has 64 divisors (see below), whose sum is σ = 107406000. Its totient is φ = 17382400.

The previous prime is 45575221. The next prime is 45575251. The reversal of 45575240 is 4257554.

45575240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 27102436 + 18472804 = 5206^2 + 4298^2 .

It is a super-3 number, since 3×45575240³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45575197 and 45575206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116966 + ... + 117354.

Almost surely, 2^45575240 is an apocalyptic number.

45575240 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 45575240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53703000).

45575240 is an abundant number, since it is smaller than the sum of its proper divisors (61830760).

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

45575240 is a wasteful number, since it uses less digits than its factorization.

45575240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 32.

The square root of 45575240 is about 6750.9436377443. The cubic root of 45575240 is about 357.1985232850.

The spelling of 45575240 in words is "forty-five million, five hundred seventy-five thousand, two hundred forty".