45411216 has 160 divisors (see below), whose sum is σ = 136598400. Its totient is φ = 12902400.

The previous prime is 45411211. The next prime is 45411217. The reversal of 45411216 is 61211454.

It is a happy number.

45411216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45411211) 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 31 ways as a sum of consecutive naturals, for example, 449566 + ... + 449666.

It is an arithmetic number, because the mean of its divisors is an integer number (853740).

Almost surely, 2^45411216 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 45411216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68299200).

45411216 is an abundant number, since it is smaller than the sum of its proper divisors (91187184).

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

45411216 is a wasteful number, since it uses less digits than its factorization.

45411216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 45411216 is about 6738.7844601234. The cubic root of 45411216 is about 356.7694923878.

The spelling of 45411216 in words is "forty-five million, four hundred eleven thousand, two hundred sixteen".