400108800 has 432 divisors, whose sum is σ = 1632256640. Its totient is φ = 84049920.

The previous prime is 400108799. The next prime is 400108817. The reversal of 400108800 is 8801004.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1747086 + ... + 1747314.

Almost surely, 2^400108800 is an apocalyptic number.

400108800 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 400108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816128320).

400108800 is an abundant number, since it is smaller than the sum of its proper divisors (1232147840).

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

400108800 is a wasteful number, since it uses less digits than its factorization.

400108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 400108800 is about 20002.7198150652. The cubic root of 400108800 is about 736.8730974433.

Adding to 400108800 its reverse (8801004), we get a palindrome (408909804).

The spelling of 400108800 in words is "four hundred million, one hundred eight thousand, eight hundred".