45335640 has 128 divisors (see below), whose sum is σ = 160542720. Its totient is φ = 10022400.

The previous prime is 45335603. The next prime is 45335681. The reversal of 45335640 is 4653354.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45335598 and 45335607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25170 + ... + 26910.

It is an arithmetic number, because the mean of its divisors is an integer number (1254240).

Almost surely, 2^45335640 is an apocalyptic number.

45335640 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 45335640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80271360).

45335640 is an abundant number, since it is smaller than the sum of its proper divisors (115207080).

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

45335640 is a wasteful number, since it uses less digits than its factorization.

45335640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 45335640 is about 6733.1745855874. The cubic root of 45335640 is about 356.5714636092.

Adding to 45335640 its reverse (4653354), we get a palindrome (49988994).

The spelling of 45335640 in words is "forty-five million, three hundred thirty-five thousand, six hundred forty".