4236000 has 96 divisors (see below), whose sum is σ = 13916448. Its totient is φ = 1126400.

The previous prime is 4235999. The next prime is 4236049. The reversal of 4236000 is 6324.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 11824 + ... + 12176.

It is an arithmetic number, because the mean of its divisors is an integer number (144963).

Almost surely, 2^4236000 is an apocalyptic number.

4236000 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 4236000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6958224).

4236000 is an abundant number, since it is smaller than the sum of its proper divisors (9680448).

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

4236000 is a wasteful number, since it uses less digits than its factorization.

4236000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4236000 is about 2058.1545131501. The cubic root of 4236000 is about 161.8025333672.

The spelling of 4236000 in words is "four million, two hundred thirty-six thousand".