45736840 has 32 divisors (see below), whose sum is σ = 103935960. Its totient is φ = 18112000.

The previous prime is 45736837. The next prime is 45736849. The reversal of 45736840 is 4863754.

45736840 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 38019556 + 7717284 = 6166^2 + 2778^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45736840.

It is not an unprimeable number, because it can be changed into a prime (45736849) by changing a digit.

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, 1621 + ... + 9700.

Almost surely, 2^45736840 is an apocalyptic number.

45736840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45736840 is an abundant number, since it is smaller than the sum of its proper divisors (58199120).

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

45736840 is a wasteful number, since it uses less digits than its factorization.

45736840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11433 (or 11429 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 45736840 is about 6762.9017440741. The cubic root of 45736840 is about 357.6202083247.

The spelling of 45736840 in words is "forty-five million, seven hundred thirty-six thousand, eight hundred forty".