400900800 has 210 divisors, whose sum is σ = 1397493268. Its totient is φ = 100618240.

The previous prime is 400900793. The next prime is 400900807. The reversal of 400900800 is 8009004.

It is an interprime number because it is at equal distance from previous prime (400900793) and next prime (400900807).

It is not an unprimeable number, because it can be changed into a prime (400900807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23582392 + ... + 23582408.

Almost surely, 2^400900800 is an apocalyptic number.

400900800 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 400900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698746634).

400900800 is an abundant number, since it is smaller than the sum of its proper divisors (996592468).

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

400900800 is an frugal number, since it uses more digits than its factorization.

400900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 400900800 is about 20022.5073354962. The cubic root of 400900800 is about 737.3589809851.

Adding to 400900800 its reverse (8009004), we get a palindrome (408909804).

The spelling of 400900800 in words is "four hundred million, nine hundred thousand, eight hundred".