4024416 has 96 divisors (see below), whose sum is σ = 11950848. Its totient is φ = 1175040.

The previous prime is 4024411. The next prime is 4024429. The reversal of 4024416 is 6144204.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4024392 and 4024401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39021 + ... + 39123.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

Almost surely, 2^4024416 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 4024416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975424).

4024416 is an abundant number, since it is smaller than the sum of its proper divisors (7926432).

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

4024416 is a wasteful number, since it uses less digits than its factorization.

4024416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4024416 is about 2006.0947136165. The cubic root of 4024416 is about 159.0624334539.

The spelling of 4024416 in words is "four million, twenty-four thousand, four hundred sixteen".