402000100 has 72 divisors (see below), whose sum is σ = 924315840. Its totient is φ = 151332480.

The previous prime is 402000089. The next prime is 402000113. The reversal of 402000100 is 1000204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328089 + ... + 329311.

It is an arithmetic number, because the mean of its divisors is an integer number (12837720).

Almost surely, 2^402000100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462157920).

402000100 is an abundant number, since it is smaller than the sum of its proper divisors (522315740).

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

402000100 is a wasteful number, since it uses less digits than its factorization.

402000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 402000100 is about 20049.9401495366. The cubic root of 402000100 is about 738.0323304065.

Adding to 402000100 its reverse (1000204), we get a palindrome (403000304).

The spelling of 402000100 in words is "four hundred two million, one hundred", and thus it is an aban number.