402131200 has 108 divisors (see below), whose sum is σ = 1048040560. Its totient is φ = 152340480.

The previous prime is 402131173. The next prime is 402131237. The reversal of 402131200 is 2131204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119947 + ... + 123253.

Almost surely, 2^402131200 is an apocalyptic number.

402131200 is a gapful number since it is divisible by the number (40) 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 402131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524020280).

402131200 is an abundant number, since it is smaller than the sum of its proper divisors (645909360).

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

402131200 is a wasteful number, since it uses less digits than its factorization.

402131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 402131200 is about 20053.2092194741. The cubic root of 402131200 is about 738.1125505544.

Adding to 402131200 its reverse (2131204), we get a palindrome (404262404).

The spelling of 402131200 in words is "four hundred two million, one hundred thirty-one thousand, two hundred".