402420 has 48 divisors (see below), whose sum is σ = 1189440. Its totient is φ = 101376.

The previous prime is 402419. The next prime is 402443. The reversal of 402420 is 24204.

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

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 402396 and 402405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 964 + ... + 1316.

It is an arithmetic number, because the mean of its divisors is an integer number (24780).

2⁴⁰²⁴²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594720).

402420 is an abundant number, since it is smaller than the sum of its proper divisors (787020).

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

402420 is a wasteful number, since it uses less digits than its factorization.

402420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 402420 is about 634.3658250568. The cubic root of 402420 is about 73.8289205914.

Adding to 402420 its reverse (24204), we get a palindrome (426624).

The spelling of 402420 in words is "four hundred two thousand, four hundred twenty", and thus it is an iban number.