405168 has 40 divisors (see below), whose sum is σ = 1095168. Its totient is φ = 128832.

The previous prime is 405157. The next prime is 405179. The reversal of 405168 is 861504.

405168 = T₂₁₇ + T₂₁₈ + ... + T₂₃₂.

It is an interprime number because it is at equal distance from previous prime (405157) and next prime (405179).

It is a super-2 number, since 2×405168² = 328322216448, which contains 22 as substring.

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

It is a plaindrome in base 13.

It is an unprimeable number.

405168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 921 + ... + 1287.

2⁴⁰⁵¹⁶⁸ is an apocalyptic number.

405168 is a gapful number since it is divisible by the number (48) 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 405168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547584).

405168 is an abundant number, since it is smaller than the sum of its proper divisors (690000).

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

405168 is a wasteful number, since it uses less digits than its factorization.

405168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 405168 is about 636.5280826484. The cubic root of 405168 is about 73.9965910287.

The spelling of 405168 in words is "four hundred five thousand, one hundred sixty-eight".