4200864 has 24 divisors (see below), whose sum is σ = 11027520. Its totient is φ = 1400256.

The previous prime is 4200863. The next prime is 4200877. The reversal of 4200864 is 4680024.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4200863) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21784 + ... + 21975.

It is an arithmetic number, because the mean of its divisors is an integer number (459480).

Almost surely, 2^4200864 is an apocalyptic number.

It is an amenable number.

4200864 is an abundant number, since it is smaller than the sum of its proper divisors (6826656).

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

4200864 is a wasteful number, since it uses less digits than its factorization.

4200864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43772 (or 43764 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4200864 is about 2049.6009367679. The cubic root of 4200864 is about 161.3539273546.

Adding to 4200864 its reverse (4680024), we get a palindrome (8880888).

The spelling of 4200864 in words is "four million, two hundred thousand, eight hundred sixty-four".