45753630 has 128 divisors (see below), whose sum is σ = 128314368. Its totient is φ = 10340352.

The previous prime is 45753623. The next prime is 45753637. The reversal of 45753630 is 3635754.

45753630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45753623) and next prime (45753637).

It is a junction number, because it is equal to n+sod(n) for n = 45753591 and 45753600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45753637) 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 63 ways as a sum of consecutive naturals, for example, 444159 + ... + 444261.

It is an arithmetic number, because the mean of its divisors is an integer number (1002456).

Almost surely, 2^45753630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45753630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64157184).

45753630 is an abundant number, since it is smaller than the sum of its proper divisors (82560738).

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

45753630 is a wasteful number, since it uses less digits than its factorization.

45753630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210.

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 45753630 is about 6764.1429612332. The cubic root of 45753630 is about 357.6639637795.

The spelling of 45753630 in words is "forty-five million, seven hundred fifty-three thousand, six hundred thirty".