4219776 has 160 divisors (see below), whose sum is σ = 14069880. Its totient is φ = 1244160.

The previous prime is 4219771. The next prime is 4219781. The reversal of 4219776 is 6779124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4219771) and next prime (4219781).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4¹¹ + 2¹¹ + 1 + 9⁴ + 7² + 7⁵ + 6 .

It is a self number, because there is not a number n which added to its sum of digits gives 4219776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4219771) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114030 + ... + 114066.

Almost surely, 2^4219776 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 4219776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7034940).

4219776 is an abundant number, since it is smaller than the sum of its proper divisors (9850104).

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

4219776 is a wasteful number, since it uses less digits than its factorization.

4219776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 53 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 4219776 is about 2054.2093369469. The cubic root of 4219776 is about 161.5956996536.

The spelling of 4219776 in words is "four million, two hundred nineteen thousand, seven hundred seventy-six".