402360 has 64 divisors (see below), whose sum is σ = 1382400. Its totient is φ = 91776.

The previous prime is 402359. The next prime is 402361. The reversal of 402360 is 63204.

It is an interprime number because it is at equal distance from previous prime (402359) and next prime (402361).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601 + ... + 1079.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2⁴⁰²³⁶⁰ is an apocalyptic number.

402360 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 402360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691200).

402360 is an abundant number, since it is smaller than the sum of its proper divisors (980040).

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

402360 is a wasteful number, since it uses less digits than its factorization.

402360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 402360 is about 634.3185319695. The cubic root of 402360 is about 73.8252511619.

Adding to 402360 its reverse (63204), we get a palindrome (465564).

The spelling of 402360 in words is "four hundred two thousand, three hundred sixty".