202968480 has 192 divisors, whose sum is σ = 751379328. Its totient is φ = 45404160.

The previous prime is 202968473. The next prime is 202968497. The reversal of 202968480 is 84869202.

202968480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67162 + ... + 70118.

It is an arithmetic number, because the mean of its divisors is an integer number (3913434).

Almost surely, 2^202968480 is an apocalyptic number.

202968480 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 202968480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375689664).

202968480 is an abundant number, since it is smaller than the sum of its proper divisors (548410848).

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

202968480 is a wasteful number, since it uses less digits than its factorization.

202968480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 202968480 is about 14246.7006706816. The cubic root of 202968480 is about 587.6826460940.

The spelling of 202968480 in words is "two hundred two million, nine hundred sixty-eight thousand, four hundred eighty".