202468320 has 72 divisors (see below), whose sum is σ = 690928056. Its totient is φ = 53991168.

The previous prime is 202468307. The next prime is 202468361. The reversal of 202468320 is 23864202.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68862 + ... + 71741.

It is an arithmetic number, because the mean of its divisors is an integer number (9596223).

Almost surely, 2^202468320 is an apocalyptic number.

202468320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202468320 is an abundant number, since it is smaller than the sum of its proper divisors (488459736).

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

202468320 is a wasteful number, since it uses less digits than its factorization.

202468320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140624 (or 140613 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 202468320 is about 14229.1363054825. The cubic root of 202468320 is about 587.1995216136.

The spelling of 202468320 in words is "two hundred two million, four hundred sixty-eight thousand, three hundred twenty".