401205200 has 60 divisors (see below), whose sum is σ = 1051533888. Its totient is φ = 145891200.

The previous prime is 401205199. The next prime is 401205209. The reversal of 401205200 is 2502104.

It is a super-2 number, since 2×401205200² = 321931225014080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401205209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41192 + ... + 49991.

Almost surely, 2^401205200 is an apocalyptic number.

401205200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401205200 is an abundant number, since it is smaller than the sum of its proper divisors (650328688).

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

401205200 is a wasteful number, since it uses less digits than its factorization.

401205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91212 (or 91201 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 401205200 is about 20030.1073387039. The cubic root of 401205200 is about 737.5455568909.

Adding to 401205200 its reverse (2502104), we get a palindrome (403707304).

The spelling of 401205200 in words is "four hundred one million, two hundred five thousand, two hundred".