4216480 has 72 divisors (see below), whose sum is σ = 10657332. Its totient is φ = 1575936.

The previous prime is 4216469. The next prime is 4216501. The reversal of 4216480 is 846124.

It can be written as a sum of positive squares in 2 ways, for example, as 4210704 + 5776 = 2052^2 + 76^2 .

It is an Ulam number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 57724 + ... + 57796.

Almost surely, 2^4216480 is an apocalyptic number.

4216480 is a gapful number since it is divisible by the number (40) 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 4216480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328666).

4216480 is an abundant number, since it is smaller than the sum of its proper divisors (6440852).

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

4216480 is a wasteful number, since it uses less digits than its factorization.

4216480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 4216480 is about 2053.4069250882. The cubic root of 4216480 is about 161.5536154166.

The spelling of 4216480 in words is "four million, two hundred sixteen thousand, four hundred eighty".