202982472 has 384 divisors, whose sum is σ = 754790400. Its totient is φ = 47692800.

The previous prime is 202982459. The next prime is 202982473. The reversal of 202982472 is 274289202.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (202982473) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4318753 + ... + 4318799.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^202982472 is an apocalyptic number.

202982472 is a gapful number since it is divisible by the number (22) 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 202982472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

202982472 is an abundant number, since it is smaller than the sum of its proper divisors (551807928).

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

202982472 is a wasteful number, since it uses less digits than its factorization.

202982472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 202982472 is about 14247.1917232836. The cubic root of 202982472 is about 587.6961501064.

The spelling of 202982472 in words is "two hundred two million, nine hundred eighty-two thousand, four hundred seventy-two".