45735440 has 40 divisors (see below), whose sum is σ = 112593240. Its totient is φ = 17217536.

The previous prime is 45735439. The next prime is 45735461. The reversal of 45735440 is 4453754.

45735440 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 4 ways, for example, as 3952144 + 41783296 = 1988^2 + 6464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 45735397 and 45735406.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 15455 + ... + 18174.

It is an arithmetic number, because the mean of its divisors is an integer number (2814831).

Almost surely, 2^45735440 is an apocalyptic number.

45735440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45735440 is an abundant number, since it is smaller than the sum of its proper divisors (66857800).

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

45735440 is a wasteful number, since it uses less digits than its factorization.

45735440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33659 (or 33653 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 32.

The square root of 45735440 is about 6762.7982374162. The cubic root of 45735440 is about 357.6165593814.

The spelling of 45735440 in words is "forty-five million, seven hundred thirty-five thousand, four hundred forty".