202064400 has 270 divisors, whose sum is σ = 738261342. Its totient is φ = 51148800.

The previous prime is 202064399. The next prime is 202064459. The reversal of 202064400 is 4460202.

202064400 is a `hidden beast` number, since 2 + 0 + 20 + 644 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 25280784 + 176783616 = 5028^2 + 13296^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4928380 + ... + 4928420.

Almost surely, 2^202064400 is an apocalyptic number.

202064400 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 202064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369130671).

202064400 is an abundant number, since it is smaller than the sum of its proper divisors (536196942).

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

202064400 is a wasteful number, since it uses less digits than its factorization.

202064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 202064400 is about 14214.9358071009. The cubic root of 202064400 is about 586.8087781302.

The spelling of 202064400 in words is "two hundred two million, sixty-four thousand, four hundred".