405460 has 48 divisors (see below), whose sum is σ = 987840. Its totient is φ = 138240.

The previous prime is 405439. The next prime is 405473. The reversal of 405460 is 64504.

405460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4132 + ... + 4228.

It is an arithmetic number, because the mean of its divisors is an integer number (20580).

2⁴⁰⁵⁴⁶⁰ 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 405460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493920).

405460 is an abundant number, since it is smaller than the sum of its proper divisors (582380).

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

405460 is a wasteful number, since it uses less digits than its factorization.

405460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 405460 is about 636.7574106361. The cubic root of 405460 is about 74.0143629291.

Adding to 405460 its reverse (64504), we get a palindrome (469964).

It can be divided in two parts, 4054 and 60, that added together give a palindrome (4114).

The spelling of 405460 in words is "four hundred five thousand, four hundred sixty".