45881472 has 192 divisors, whose sum is σ = 152314560. Its totient is φ = 11980800.

The previous prime is 45881441. The next prime is 45881477. The reversal of 45881472 is 27418854.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 45881472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45881477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454222 + ... + 454322.

It is an arithmetic number, because the mean of its divisors is an integer number (793305).

Almost surely, 2^45881472 is an apocalyptic number.

45881472 is a gapful number since it is divisible by the number (42) 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 45881472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76157280).

45881472 is an abundant number, since it is smaller than the sum of its proper divisors (106433088).

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

45881472 is a wasteful number, since it uses less digits than its factorization.

45881472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 126 counting only the distinct ones).

The product of its digits is 71680, while the sum is 39.

The square root of 45881472 is about 6773.5863469805. The cubic root of 45881472 is about 357.9967749364.

The spelling of 45881472 in words is "forty-five million, eight hundred eighty-one thousand, four hundred seventy-two".