45256176 has 240 divisors, whose sum is σ = 162489600. Its totient is φ = 11446272.

The previous prime is 45256171. The next prime is 45256199. The reversal of 45256176 is 67165254.

It is a happy number.

45256176 is a `hidden beast` number, since 4 + 525 + 61 + 76 = 666.

45256176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45256176² = 4096242932285952, which contains 22 as substring.

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 45256176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45256171) 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 47 ways as a sum of consecutive naturals, for example, 325515 + ... + 325653.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 2^45256176 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 45256176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

45256176 is an abundant number, since it is smaller than the sum of its proper divisors (117233424).

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

45256176 is a wasteful number, since it uses less digits than its factorization.

45256176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 45256176 is about 6727.2710663389. The cubic root of 45256176 is about 356.3630097612.

It can be divided in two parts, 4525 and 6176, that added together give a palindrome (10701).

The spelling of 45256176 in words is "forty-five million, two hundred fifty-six thousand, one hundred seventy-six".