45079216 has 60 divisors (see below), whose sum is σ = 109440912. Its totient is φ = 17829504.

The previous prime is 45079187. The next prime is 45079219. The reversal of 45079216 is 61297054.

45079216 = 99² + 100² + ... + 514².

It is not an unprimeable number, because it can be changed into a prime (45079219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7981 + ... + 12403.

Almost surely, 2^45079216 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 45079216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54720456).

45079216 is an abundant number, since it is smaller than the sum of its proper divisors (64361696).

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

45079216 is a wasteful number, since it uses less digits than its factorization.

45079216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 45079216 is about 6714.1057483480. The cubic root of 45079216 is about 355.8979213284.

The spelling of 45079216 in words is "forty-five million, seventy-nine thousand, two hundred sixteen".