202668480 has 280 divisors, whose sum is σ = 824654688. Its totient is φ = 46282752.

The previous prime is 202668467. The next prime is 202668491. The reversal of 202668480 is 84866202.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180882 + ... + 181998.

Almost surely, 2^202668480 is an apocalyptic number.

202668480 is a gapful number since it is divisible by the number (20) 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 202668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412327344).

202668480 is an abundant number, since it is smaller than the sum of its proper divisors (621986208).

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

202668480 is a wasteful number, since it uses less digits than its factorization.

202668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 202668480 is about 14236.1680237345. The cubic root of 202668480 is about 587.3929595240.

The spelling of 202668480 in words is "two hundred two million, six hundred sixty-eight thousand, four hundred eighty".