45635040 has 288 divisors, whose sum is σ = 176432256. Its totient is φ = 10644480.

The previous prime is 45635039. The next prime is 45635071. The reversal of 45635040 is 4053654.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 45634995 and 45635013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681087 + ... + 681153.

It is an arithmetic number, because the mean of its divisors is an integer number (612612).

Almost surely, 2^45635040 is an apocalyptic number.

45635040 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 45635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88216128).

45635040 is an abundant number, since it is smaller than the sum of its proper divisors (130797216).

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

45635040 is a wasteful number, since it uses less digits than its factorization.

45635040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45635040 is about 6755.3711963148. The cubic root of 45635040 is about 357.3546836331.

Adding to 45635040 its reverse (4053654), we get a palindrome (49688694).

The spelling of 45635040 in words is "forty-five million, six hundred thirty-five thousand, forty".