402120 has 48 divisors (see below), whose sum is σ = 1308060. Its totient is φ = 107136.

The previous prime is 402107. The next prime is 402131. The reversal of 402120 is 21204.

402120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 352836 + 49284 = 594^2 + 222^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 199 + ... + 918.

2⁴⁰²¹²⁰ is an apocalyptic number.

402120 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 402120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654030).

402120 is an abundant number, since it is smaller than the sum of its proper divisors (905940).

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

402120 is a wasteful number, since it uses less digits than its factorization.

402120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 402120 is about 634.1293243495. The cubic root of 402120 is about 73.8105697951.

Adding to 402120 its reverse (21204), we get a palindrome (423324).

The spelling of 402120 in words is "four hundred two thousand, one hundred twenty", and thus it is an iban number.