4135824 has 120 divisors (see below), whose sum is σ = 14469312. Its totient is φ = 1071360.

The previous prime is 4135771. The next prime is 4135829. The reversal of 4135824 is 4285314.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4135829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10902 + ... + 11274.

Almost surely, 2^4135824 is an apocalyptic number.

4135824 is a gapful number since it is divisible by the number (44) 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 4135824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7234656).

4135824 is an abundant number, since it is smaller than the sum of its proper divisors (10333488).

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

4135824 is a wasteful number, since it uses less digits than its factorization.

4135824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 396 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 4135824 is about 2033.6725400123. The cubic root of 4135824 is about 160.5168701515.

The spelling of 4135824 in words is "four million, one hundred thirty-five thousand, eight hundred twenty-four".