45957810 has 32 divisors (see below), whose sum is σ = 113859072. Its totient is φ = 11859840.

The previous prime is 45957809. The next prime is 45957823. The reversal of 45957810 is 1875954.

45957810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×45957810³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23779 + ... + 25638.

It is an arithmetic number, because the mean of its divisors is an integer number (3558096).

Almost surely, 2^45957810 is an apocalyptic number.

45957810 is an abundant number, since it is smaller than the sum of its proper divisors (67901262).

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

45957810 is a wasteful number, since it uses less digits than its factorization.

45957810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49458.

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 45957810 is about 6779.2189815642. The cubic root of 45957810 is about 358.1952109934.

The spelling of 45957810 in words is "forty-five million, nine hundred fifty-seven thousand, eight hundred ten".