21434800 has 60 divisors (see below), whose sum is σ = 52793496. Its totient is φ = 8358400.

The previous prime is 21434797. The next prime is 21434801. The reversal of 21434800 is 843412.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (21434801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15747 + ... + 17053.

Almost surely, 2^21434800 is an apocalyptic number.

21434800 is a gapful number since it is divisible by the number (20) 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 21434800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26396748).

21434800 is an abundant number, since it is smaller than the sum of its proper divisors (31358696).

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

21434800 is a wasteful number, since it uses less digits than its factorization.

21434800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 21434800 is about 4629.7732125883. The cubic root of 21434800 is about 277.7835210664.

The spelling of 21434800 in words is "twenty-one million, four hundred thirty-four thousand, eight hundred".