4235880 has 64 divisors (see below), whose sum is σ = 13867200. Its totient is φ = 1026560.

The previous prime is 4235867. The next prime is 4235897. The reversal of 4235880 is 885324.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 4⁴ + 2¹³ + 3¹¹ + 5⁹ + 8 + 8⁷ + 0 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285 + ... + 2924.

It is an arithmetic number, because the mean of its divisors is an integer number (216675).

Almost surely, 2^4235880 is an apocalyptic number.

4235880 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 4235880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6933600).

4235880 is an abundant number, since it is smaller than the sum of its proper divisors (9631320).

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

4235880 is a wasteful number, since it uses less digits than its factorization.

4235880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 4235880 is about 2058.1253606134. The cubic root of 4235880 is about 161.8010054724.

It can be divided in two parts, 4235 and 880, that added together give a palindrome (5115).

The spelling of 4235880 in words is "four million, two hundred thirty-five thousand, eight hundred eighty".