405342 has 24 divisors (see below), whose sum is σ = 1004016. Its totient is φ = 115776.

The previous prime is 405341. The next prime is 405343. The reversal of 405342 is 243504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (405341) and next prime (405343).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1483 + ... + 1734.

It is an arithmetic number, because the mean of its divisors is an integer number (41834).

2⁴⁰⁵³⁴² is an apocalyptic number.

405342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

405342 is an abundant number, since it is smaller than the sum of its proper divisors (598674).

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

405342 is a wasteful number, since it uses less digits than its factorization.

405342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 405342 is about 636.6647469430. The cubic root of 405342 is about 74.0071821614.

Adding to 405342 its reverse (243504), we get a palindrome (648846).

It can be divided in two parts, 4053 and 42, that added together give a triangular number (4095 = T₉₀).

The spelling of 405342 in words is "four hundred five thousand, three hundred forty-two".