400305600 has 126 divisors (see below), whose sum is σ = 1422831800. Its totient is φ = 106744320.

The previous prime is 400305583. The next prime is 400305601. The reversal of 400305600 is 6503004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400305601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 501 + ... + 28299.

Almost surely, 2^400305600 is an apocalyptic number.

400305600 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 400305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711415900).

400305600 is an abundant number, since it is smaller than the sum of its proper divisors (1022526200).

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

400305600 is a wasteful number, since it uses less digits than its factorization.

400305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27827 (or 27809 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 400305600 is about 20007.6385413172. The cubic root of 400305600 is about 736.9938919670.

Adding to 400305600 its reverse (6503004), we get a palindrome (406808604).

The spelling of 400305600 in words is "four hundred million, three hundred five thousand, six hundred".