402820 has 24 divisors (see below), whose sum is σ = 923328. Its totient is φ = 146400.

The previous prime is 402817. The next prime is 402823. The reversal of 402820 is 28204.

402820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (402817) and next prime (402823).

It is a junction number, because it is equal to n+sod(n) for n = 402794 and 402803.

It is not an unprimeable number, because it can be changed into a prime (402823) 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 7 ways as a sum of consecutive naturals, for example, 696 + ... + 1135.

It is an arithmetic number, because the mean of its divisors is an integer number (38472).

2⁴⁰²⁸²⁰ is an apocalyptic number.

It is an amenable number.

402820 is an abundant number, since it is smaller than the sum of its proper divisors (520508).

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

402820 is a wasteful number, since it uses less digits than its factorization.

402820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 402820 is about 634.6810222466. The cubic root of 402820 is about 73.8533741382.

The spelling of 402820 in words is "four hundred two thousand, eight hundred twenty".