402600 has 96 divisors (see below), whose sum is σ = 1383840. Its totient is φ = 96000.

The previous prime is 402593. The next prime is 402601. The reversal of 402600 is 6204.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 402600.

It is not an unprimeable number, because it can be changed into a prime (402601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6570 + ... + 6630.

It is an arithmetic number, because the mean of its divisors is an integer number (14415).

2⁴⁰²⁶⁰⁰ is an apocalyptic number.

402600 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 402600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691920).

402600 is an abundant number, since it is smaller than the sum of its proper divisors (981240).

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

402600 is a wasteful number, since it uses less digits than its factorization.

402600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 402600 is about 634.5076831686. The cubic root of 402600 is about 73.8399266918.

Adding to 402600 its reverse (6204), we get a palindrome (408804).

The spelling of 402600 in words is "four hundred two thousand, six hundred".