45289216 has 72 divisors (see below), whose sum is σ = 104652800. Its totient is φ = 19160064.

The previous prime is 45289201. The next prime is 45289229. The reversal of 45289216 is 61298254.

It is a super-2 number, since 2×45289216² = 4102226171789312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227485 + ... + 227683.

Almost surely, 2^45289216 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 45289216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52326400).

45289216 is an abundant number, since it is smaller than the sum of its proper divisors (59363584).

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

45289216 is a wasteful number, since it uses less digits than its factorization.

45289216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 335 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 45289216 is about 6729.7262945829. The cubic root of 45289216 is about 356.4497115165.

The spelling of 45289216 in words is "forty-five million, two hundred eighty-nine thousand, two hundred sixteen".