4469272416 has 576 divisors, whose sum is σ = 16590873600. Its totient is φ = 1144129536.

The previous prime is 4469272411. The next prime is 4469272487. The reversal of 4469272416 is 6142729644.

It is a super-3 number, since 3×4469272416³ (a number of 30 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4469272411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50216500 + ... + 50216588.

It is an arithmetic number, because the mean of its divisors is an integer number (28803600).

Almost surely, 2^4469272416 is an apocalyptic number.

4469272416 is a gapful number since it is divisible by the number (46) 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 4469272416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8295436800).

4469272416 is an abundant number, since it is smaller than the sum of its proper divisors (12121601184).

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

4469272416 is a wasteful number, since it uses less digits than its factorization.

4469272416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 143 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 4469272416 is about 66852.6171215458. The cubic root of 4469272416 is about 1647.1972517659.

The spelling of 4469272416 in words is "four billion, four hundred sixty-nine million, two hundred seventy-two thousand, four hundred sixteen".