400305984 has 224 divisors, whose sum is σ = 1256263680. Its totient is φ = 111310848.

The previous prime is 400305959. The next prime is 400306009. The reversal of 400305984 is 489503004.

It is an interprime number because it is at equal distance from previous prime (400305959) and next prime (400306009).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1090569 + ... + 1090935.

It is an arithmetic number, because the mean of its divisors is an integer number (5608320).

Almost surely, 2^400305984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400305984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628131840).

400305984 is an abundant number, since it is smaller than the sum of its proper divisors (855957696).

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

400305984 is a wasteful number, since it uses less digits than its factorization.

400305984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 400305984 is about 20007.6481376498. The cubic root of 400305984 is about 736.9941276250.

Adding to 400305984 its reverse (489503004), we get a palindrome (889808988).

The spelling of 400305984 in words is "four hundred million, three hundred five thousand, nine hundred eighty-four".