45679104 has 120 divisors (see below), whose sum is σ = 137884032. Its totient is φ = 14530560.

The previous prime is 45679091. The next prime is 45679111. The reversal of 45679104 is 40197654.

45679104 is a `hidden beast` number, since 4 + 567 + 91 + 0 + 4 = 666.

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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105769 + ... + 106199.

Almost surely, 2^45679104 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 45679104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68942016).

45679104 is an abundant number, since it is smaller than the sum of its proper divisors (92204928).

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

45679104 is a wasteful number, since it uses less digits than its factorization.

45679104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 459 counting only the distinct ones).

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

The square root of 45679104 is about 6758.6318142062. The cubic root of 45679104 is about 357.4696640763.

The spelling of 45679104 in words is "forty-five million, six hundred seventy-nine thousand, one hundred four".