400368 has 40 divisors (see below), whose sum is σ = 1091200. Its totient is φ = 126144.

The previous prime is 400339. The next prime is 400381. The reversal of 400368 is 863004.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400368.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 693 + ... + 1131.

It is an arithmetic number, because the mean of its divisors is an integer number (27280).

2⁴⁰⁰³⁶⁸ is an apocalyptic number.

400368 is a gapful number since it is divisible by the number (48) 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 400368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545600).

400368 is an abundant number, since it is smaller than the sum of its proper divisors (690832).

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

400368 is a wasteful number, since it uses less digits than its factorization.

400368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 400368 is about 632.7463946954. The cubic root of 400368 is about 73.7032184403.

The spelling of 400368 in words is "four hundred thousand, three hundred sixty-eight".