402100200 has 120 divisors (see below), whose sum is σ = 1396609830. Its totient is φ = 107222400.

The previous prime is 402100199. The next prime is 402100213. The reversal of 402100200 is 2001204.

It can be written as a sum of positive squares in 3 ways, for example, as 218389284 + 183710916 = 14778^2 + 13554^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3790 + ... + 28610.

Almost surely, 2^402100200 is an apocalyptic number.

402100200 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 402100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698304915).

402100200 is an abundant number, since it is smaller than the sum of its proper divisors (994509630).

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

402100200 is a wasteful number, since it uses less digits than its factorization.

402100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24849 (or 24831 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 402100200 is about 20052.4362609634. The cubic root of 402100200 is about 738.0935832148.

Adding to 402100200 its reverse (2001204), we get a palindrome (404101404).

The spelling of 402100200 in words is "four hundred two million, one hundred thousand, two hundred".