45800640 has 336 divisors, whose sum is σ = 177515520. Its totient is φ = 11197440.

The previous prime is 45800593. The next prime is 45800641. The reversal of 45800640 is 4600854.

45800640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45800641) 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 47 ways as a sum of consecutive naturals, for example, 1477425 + ... + 1477455.

It is an arithmetic number, because the mean of its divisors is an integer number (528320).

Almost surely, 2^45800640 is an apocalyptic number.

45800640 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 45800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88757760).

45800640 is an abundant number, since it is smaller than the sum of its proper divisors (131714880).

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

45800640 is a wasteful number, since it uses less digits than its factorization.

45800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45800640 is about 6767.6170104402. The cubic root of 45800640 is about 357.7864169249.

The spelling of 45800640 in words is "forty-five million, eight hundred thousand, six hundred forty".