201421824 has 88 divisors (see below), whose sum is σ = 541390560. Its totient is φ = 66576384.

The previous prime is 201421799. The next prime is 201421841. The reversal of 201421824 is 428124102.

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

It is a junction number, because it is equal to n+sod(n) for n = 201421794 and 201421803.

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 7 ways as a sum of consecutive naturals, for example, 531267 + ... + 531645.

Almost surely, 2^201421824 is an apocalyptic number.

201421824 is a gapful number since it is divisible by the number (24) 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 201421824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270695280).

201421824 is an abundant number, since it is smaller than the sum of its proper divisors (339968736).

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

201421824 is a wasteful number, since it uses less digits than its factorization.

201421824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 201421824 is about 14192.3156672898. The cubic root of 201421824 is about 586.1860894471.

Adding to 201421824 its reverse (428124102), we get a palindrome (629545926).

The spelling of 201421824 in words is "two hundred one million, four hundred twenty-one thousand, eight hundred twenty-four".