202871424 has 128 divisors (see below), whose sum is σ = 625121280. Its totient is φ = 57093120.

The previous prime is 202871423. The next prime is 202871429. The reversal of 202871424 is 424178202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 202871391 and 202871400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202871423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190317 + ... + 191379.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2^202871424 is an apocalyptic number.

202871424 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 202871424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312560640).

202871424 is an abundant number, since it is smaller than the sum of its proper divisors (422249856).

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

202871424 is a wasteful number, since it uses less digits than its factorization.

202871424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 202871424 is about 14243.2940010378. The cubic root of 202871424 is about 587.5889579495.

The spelling of 202871424 in words is "two hundred two million, eight hundred seventy-one thousand, four hundred twenty-four".