202080400 has 30 divisors (see below), whose sum is σ = 485499122. Its totient is φ = 80832000.

The previous prime is 202080383. The next prime is 202080449. The reversal of 202080400 is 4080202.

It can be written as a sum of positive squares in 3 ways, for example, as 11861136 + 190219264 = 3444^2 + 13792^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252201 + ... + 253000.

Almost surely, 2^202080400 is an apocalyptic number.

202080400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202080400 is an abundant number, since it is smaller than the sum of its proper divisors (283418722).

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

202080400 is a wasteful number, since it uses less digits than its factorization.

202080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505219 (or 505208 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 202080400 is about 14215.4985842917. The cubic root of 202080400 is about 586.8242660846.

The spelling of 202080400 in words is "two hundred two million, eighty thousand, four hundred".