45238176 has 120 divisors (see below), whose sum is σ = 137579904. Its totient is φ = 14567040.

The previous prime is 45238163. The next prime is 45238201. The reversal of 45238176 is 67183254.

45238176 is a `hidden beast` number, since 452 + 38 + 176 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45238176.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 80071 + ... + 80633.

Almost surely, 2^45238176 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 45238176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68789952).

45238176 is an abundant number, since it is smaller than the sum of its proper divisors (92341728).

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

45238176 is a wasteful number, since it uses less digits than its factorization.

45238176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 599 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 45238176 is about 6725.9330951177. The cubic root of 45238176 is about 356.3157573907.

The spelling of 45238176 in words is "forty-five million, two hundred thirty-eight thousand, one hundred seventy-six".