400360 has 16 divisors (see below), whose sum is σ = 900900. Its totient is φ = 160128.

The previous prime is 400339. The next prime is 400381. The reversal of 400360 is 63004.

It is an interprime number because it is at equal distance from previous prime (400339) and next prime (400381).

It can be written as a sum of positive squares in 2 ways, for example, as 367236 + 33124 = 606^2 + 182^2 .

400360 is a modest number, since divided by 360 gives 40 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 400360.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4965 + ... + 5044.

2⁴⁰⁰³⁶⁰ is an apocalyptic number.

400360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400360 is an abundant number, since it is smaller than the sum of its proper divisors (500540).

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

400360 is a wasteful number, since it uses less digits than its factorization.

400360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10020 (or 10016 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 400360 is about 632.7400730158. The cubic root of 400360 is about 73.7027275339.

Adding to 400360 its reverse (63004), we get a palindrome (463364).

The spelling of 400360 in words is "four hundred thousand, three hundred sixty".