4029360 has 80 divisors (see below), whose sum is σ = 12689664. Its totient is φ = 1057536.

The previous prime is 4029359. The next prime is 4029367. The reversal of 4029360 is 639204.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4029360.

It is not an unprimeable number, because it can be changed into a prime (4029367) 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, 24639 + ... + 24801.

Almost surely, 2^4029360 is an apocalyptic number.

4029360 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 4029360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6344832).

4029360 is an abundant number, since it is smaller than the sum of its proper divisors (8660304).

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

4029360 is a wasteful number, since it uses less digits than its factorization.

4029360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 4029360 is about 2007.3265803053. The cubic root of 4029360 is about 159.1275429304.

The spelling of 4029360 in words is "four million, twenty-nine thousand, three hundred sixty".