45716904 has 72 divisors (see below), whose sum is σ = 128141130. Its totient is φ = 14713920.

The previous prime is 45716861. The next prime is 45716929. The reversal of 45716904 is 40961754.

45716904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 30272004 + 15444900 = 5502^2 + 3930^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×45716904² = 4180070622690432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 348919 + ... + 349049.

Almost surely, 2^45716904 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 45716904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64070565).

45716904 is an abundant number, since it is smaller than the sum of its proper divisors (82424226).

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

45716904 is a wasteful number, since it uses less digits than its factorization.

45716904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 45716904 is about 6761.4276598955. The cubic root of 45716904 is about 357.5682403516.

The spelling of 45716904 in words is "forty-five million, seven hundred sixteen thousand, nine hundred four".