45466956 has 72 divisors (see below), whose sum is σ = 119927808. Its totient is φ = 14508000.

The previous prime is 45466933. The next prime is 45466957. The reversal of 45466956 is 65966454.

45466956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45466957) 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 23 ways as a sum of consecutive naturals, for example, 146041 + ... + 146351.

It is an arithmetic number, because the mean of its divisors is an integer number (1665664).

Almost surely, 2^45466956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45466956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59963904).

45466956 is an abundant number, since it is smaller than the sum of its proper divisors (74460852).

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

45466956 is a wasteful number, since it uses less digits than its factorization.

45466956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 478 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 45466956 is about 6742.9189525012. The cubic root of 45466956 is about 356.9154049494.

The spelling of 45466956 in words is "forty-five million, four hundred sixty-six thousand, nine hundred fifty-six".