45649008 has 120 divisors (see below), whose sum is σ = 135408000. Its totient is φ = 14883264.

The previous prime is 45649003. The next prime is 45649027. The reversal of 45649008 is 80094654.

45649008 is a `hidden beast` number, since 4 + 5 + 649 + 0 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45649003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229293 + ... + 229491.

It is an arithmetic number, because the mean of its divisors is an integer number (1128400).

Almost surely, 2^45649008 is an apocalyptic number.

45649008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45649008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67704000).

45649008 is an abundant number, since it is smaller than the sum of its proper divisors (89758992).

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

45649008 is a wasteful number, since it uses less digits than its factorization.

45649008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45649008 is about 6756.4049612201. The cubic root of 45649008 is about 357.3911396914.

45649008 divided by its sum of digits (36) gives a triangular number (1268028 = T₁₅₉₂).

The spelling of 45649008 in words is "forty-five million, six hundred forty-nine thousand, eight".