402401100 has 144 divisors (see below), whose sum is σ = 1257419520. Its totient is φ = 99052800.

The previous prime is 402401093. The next prime is 402401107. The reversal of 402401100 is 1104204.

It is an interprime number because it is at equal distance from previous prime (402401093) and next prime (402401107).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (402401107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199095 + ... + 201105.

It is an arithmetic number, because the mean of its divisors is an integer number (8732080).

Almost surely, 2^402401100 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 402401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628709760).

402401100 is an abundant number, since it is smaller than the sum of its proper divisors (855018420).

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

402401100 is a wasteful number, since it uses less digits than its factorization.

402401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 402401100 is about 20059.9376868424. The cubic root of 402401100 is about 738.2776476043.

Adding to 402401100 its reverse (1104204), we get a palindrome (403505304).

The spelling of 402401100 in words is "four hundred two million, four hundred one thousand, one hundred".