4029760 has 84 divisors (see below), whose sum is σ = 11205972. Its totient is φ = 1376256.

The previous prime is 4029757. The next prime is 4029763. The reversal of 4029760 is 679204.

It is an interprime number because it is at equal distance from previous prime (4029757) and next prime (4029763).

It can be written as a sum of positive squares in 2 ways, for example, as 3013696 + 1016064 = 1736^2 + 1008^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4029763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15552 + ... + 15808.

Almost surely, 2^4029760 is an apocalyptic number.

4029760 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 4029760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602986).

4029760 is an abundant number, since it is smaller than the sum of its proper divisors (7176212).

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

4029760 is a wasteful number, since it uses less digits than its factorization.

4029760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 4029760 is about 2007.4262128407. The cubic root of 4029760 is about 159.1328083581.

The spelling of 4029760 in words is "four million, twenty-nine thousand, seven hundred sixty".