405384 has 64 divisors (see below), whose sum is σ = 1228800. Its totient is φ = 108864.

The previous prime is 405373. The next prime is 405401. The reversal of 405384 is 483504.

405384 = T₁₉₇ + T₁₉₈ + ... + T₂₁₅.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3129 + ... + 3255.

It is an arithmetic number, because the mean of its divisors is an integer number (19200).

2⁴⁰⁵³⁸⁴ 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 405384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614400).

405384 is an abundant number, since it is smaller than the sum of its proper divisors (823416).

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

405384 is a wasteful number, since it uses less digits than its factorization.

405384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 405384 is about 636.6977304813. The cubic root of 405384 is about 74.0097381876.

Adding to 405384 its reverse (483504), we get a palindrome (888888).

The spelling of 405384 in words is "four hundred five thousand, three hundred eighty-four".