400500400 has 60 divisors (see below), whose sum is σ = 965228400. Its totient is φ = 159696640.

The previous prime is 400500391. The next prime is 400500431. The reversal of 400500400 is 4005004.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 142206 + ... + 144994.

It is an arithmetic number, because the mean of its divisors is an integer number (16087140).

Almost surely, 2^400500400 is an apocalyptic number.

400500400 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 400500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482614200).

400500400 is an abundant number, since it is smaller than the sum of its proper divisors (564728000).

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

400500400 is a wasteful number, since it uses less digits than its factorization.

400500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 400500400 is about 20012.5060899429. The cubic root of 400500400 is about 737.1134199215.

Adding to 400500400 its reverse (4005004), we get a palindrome (404505404).

400500400 divided by its reverse (4005004) gives a square (100 = 10²).

The spelling of 400500400 in words is "four hundred million, five hundred thousand, four hundred".