202991472 has 120 divisors (see below), whose sum is σ = 602759040. Its totient is φ = 63659520.

The previous prime is 202991381. The next prime is 202991479. The reversal of 202991472 is 274199202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202991479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164554 + ... + 165782.

It is an arithmetic number, because the mean of its divisors is an integer number (5022992).

Almost surely, 2^202991472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202991472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301379520).

202991472 is an abundant number, since it is smaller than the sum of its proper divisors (399767568).

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

202991472 is a wasteful number, since it uses less digits than its factorization.

202991472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 202991472 is about 14247.5075715018. The cubic root of 202991472 is about 587.7048358928.

The spelling of 202991472 in words is "two hundred two million, nine hundred ninety-one thousand, four hundred seventy-two".