45185472 has 112 divisors (see below), whose sum is σ = 134924800. Its totient is φ = 14826240.

The previous prime is 45185461. The next prime is 45185479. The reversal of 45185472 is 27458154.

45185472 is a `hidden beast` number, since 4 + 5 + 185 + 472 = 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 (45185479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136347 + ... + 136677.

Almost surely, 2^45185472 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 45185472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67462400).

45185472 is an abundant number, since it is smaller than the sum of its proper divisors (89739328).

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

45185472 is a wasteful number, since it uses less digits than its factorization.

45185472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 415 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 45185472 is about 6722.0139839188. The cubic root of 45185472 is about 356.1773303298.

The spelling of 45185472 in words is "forty-five million, one hundred eighty-five thousand, four hundred seventy-two".