4233840 has 160 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 979968.

The previous prime is 4233839. The next prime is 4233851. The reversal of 4233840 is 483324.

It is a super-2 number, since 2×4233840² = 35850802291200, which contains 22 as substring.

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 4233840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71731 + ... + 71789.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

Almost surely, 2^4233840 is an apocalyptic number.

4233840 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 4233840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

4233840 is an abundant number, since it is smaller than the sum of its proper divisors (10765200).

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

4233840 is a wasteful number, since it uses less digits than its factorization.

4233840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4233840 is about 2057.6297042957. The cubic root of 4233840 is about 161.7750268443.

The spelling of 4233840 in words is "four million, two hundred thirty-three thousand, eight hundred forty".