45755000 has 40 divisors (see below), whose sum is σ = 107215680. Its totient is φ = 18300000.

The previous prime is 45754993. The next prime is 45755009. The reversal of 45755000 is 55754.

45755000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45755009) 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 9 ways as a sum of consecutive naturals, for example, 425 + ... + 9575.

It is an arithmetic number, because the mean of its divisors is an integer number (2680392).

Almost surely, 2^45755000 is an apocalyptic number.

45755000 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 45755000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53607840).

45755000 is an abundant number, since it is smaller than the sum of its proper divisors (61460680).

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

45755000 is an equidigital number, since it uses as much as digits as its factorization.

45755000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9177 (or 9158 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 26.

The square root of 45755000 is about 6764.2442297717. The cubic root of 45755000 is about 357.6675335854.

The spelling of 45755000 in words is "forty-five million, seven hundred fifty-five thousand".