386460 has 72 divisors (see below), whose sum is σ = 1244880. Its totient is φ = 96768.

The previous prime is 386437. The next prime is 386471. The reversal of 386460 is 64683.

386460 = T₂₇₃ + T₂₇₄ + ... + T₂₈₂.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 386460.

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 23 ways as a sum of consecutive naturals, for example, 3364 + ... + 3476.

It is an arithmetic number, because the mean of its divisors is an integer number (17290).

2³⁸⁶⁴⁶⁰ is an apocalyptic number.

386460 is a gapful number since it is divisible by the number (30) 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 386460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622440).

386460 is an abundant number, since it is smaller than the sum of its proper divisors (858420).

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

386460 is a wasteful number, since it uses less digits than its factorization.

386460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 386460 is about 621.6590705523. The cubic root of 386460 is about 72.8397058287.

The spelling of 386460 in words is "three hundred eighty-six thousand, four hundred sixty".