4002912 has 96 divisors (see below), whose sum is σ = 12065760. Its totient is φ = 1290240.

The previous prime is 4002907. The next prime is 4002917. The reversal of 4002912 is 2192004.

It is an interprime number because it is at equal distance from previous prime (4002907) and next prime (4002917).

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

It is a super-3 number, since 3×4002912³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002917) 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, 35368 + ... + 35480.

It is an arithmetic number, because the mean of its divisors is an integer number (125685).

Almost surely, 2^4002912 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 4002912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032880).

4002912 is an abundant number, since it is smaller than the sum of its proper divisors (8062848).

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

4002912 is a wasteful number, since it uses less digits than its factorization.

4002912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4002912 is about 2000.7278675522. The cubic root of 4002912 is about 158.7786167850.

Adding to 4002912 its reverse (2192004), we get a palindrome (6194916).

The spelling of 4002912 in words is "four million, two thousand, nine hundred twelve".