45418640 has 40 divisors (see below), whose sum is σ = 109245240. Its totient is φ = 17540096.

The previous prime is 45418631. The next prime is 45418649. The reversal of 45418640 is 4681454.

It is an interprime number because it is at equal distance from previous prime (45418631) and next prime (45418649).

It can be written as a sum of positive squares in 4 ways, for example, as 14992384 + 30426256 = 3872^2 + 5516^2 .

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 = 45418597 and 45418606.

It is not an unprimeable number, because it can be changed into a prime (45418649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7469 + ... + 12108.

It is an arithmetic number, because the mean of its divisors is an integer number (2731131).

Almost surely, 2^45418640 is an apocalyptic number.

45418640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45418640 is an abundant number, since it is smaller than the sum of its proper divisors (63826600).

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

45418640 is a wasteful number, since it uses less digits than its factorization.

45418640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19619 (or 19613 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 45418640 is about 6739.3352787942. The cubic root of 45418640 is about 356.7889333440.

The spelling of 45418640 in words is "forty-five million, four hundred eighteen thousand, six hundred forty".