400204002 has 64 divisors (see below), whose sum is σ = 942658560. Its totient is φ = 111988800.

The previous prime is 400204001. The next prime is 400204033. The reversal of 400204002 is 200402004.

It is not an unprimeable number, because it can be changed into a prime (400204001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39477 + ... + 48567.

It is an arithmetic number, because the mean of its divisors is an integer number (14729040).

Almost surely, 2^400204002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400204002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471329280).

400204002 is an abundant number, since it is smaller than the sum of its proper divisors (542454558).

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

400204002 is a wasteful number, since it uses less digits than its factorization.

400204002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9159.

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 400204002 is about 20005.0993999030. The cubic root of 400204002 is about 736.9315367390.

Adding to 400204002 its reverse (200402004), we get a palindrome (600606006).

It can be divided in two parts, 400 and 204002, that added together give a palindrome (204402).

The spelling of 400204002 in words is "four hundred million, two hundred four thousand, two".