4273416 has 96 divisors (see below), whose sum is σ = 13540800. Its totient is φ = 1192320.

The previous prime is 4273397. The next prime is 4273417. The reversal of 4273416 is 6143724.

It is a super-4 number, since 4×4273416⁴ (a number of 28 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4273416.

It is not an unprimeable number, because it can be changed into a prime (4273417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30675 + ... + 30813.

It is an arithmetic number, because the mean of its divisors is an integer number (141050).

Almost surely, 2^4273416 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 4273416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6770400).

4273416 is an abundant number, since it is smaller than the sum of its proper divisors (9267384).

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

4273416 is a wasteful number, since it uses less digits than its factorization.

4273416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 212 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 4273416 is about 2067.2242258642. The cubic root of 4273416 is about 162.2775306776.

The spelling of 4273416 in words is "four million, two hundred seventy-three thousand, four hundred sixteen".