202420400 has 240 divisors, whose sum is σ = 614793984. Its totient is φ = 62346240.

The previous prime is 202420391. The next prime is 202420487. The reversal of 202420400 is 4024202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2438759 + ... + 2438841.

Almost surely, 2^202420400 is an apocalyptic number.

202420400 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 202420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307396992).

202420400 is an abundant number, since it is smaller than the sum of its proper divisors (412373584).

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

202420400 is a wasteful number, since it uses less digits than its factorization.

202420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 202420400 is about 14227.4523369435. The cubic root of 202420400 is about 587.1531920260.

Adding to 202420400 its reverse (4024202), we get a palindrome (206444602).

The spelling of 202420400 in words is "two hundred two million, four hundred twenty thousand, four hundred".