202085408 has 54 divisors (see below), whose sum is σ = 464104431. Its totient is φ = 86366784.

The previous prime is 202085381. The next prime is 202085417. The reversal of 202085408 is 804580202.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 101042704 + 101042704 = 10052^2 + 10052^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10052.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 562733 + ... + 563091.

Almost surely, 2^202085408 is an apocalyptic number.

202085408 is a gapful number since it is divisible by the number (28) 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 202085408

202085408 is an abundant number, since it is smaller than the sum of its proper divisors (262019023).

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

202085408 is an frugal number, since it uses more digits than its factorization.

202085408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 202085408 is about 14215.6747289744. The cubic root of 202085408 is about 586.8291136463.

The spelling of 202085408 in words is "two hundred two million, eighty-five thousand, four hundred eight".