386430 has 32 divisors (see below), whose sum is σ = 1012608. Its totient is φ = 93600.

The previous prime is 386429. The next prime is 386431. The reversal of 386430 is 34683.

386430 = 276² + 277² + ... + 280².

It is an interprime number because it is at equal distance from previous prime (386429) and next prime (386431).

It is a self number, because there is not a number n which added to its sum of digits gives 386430.

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 386430.

It is not an unprimeable number, because it can be changed into a prime (386431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256 + ... + 915.

It is an arithmetic number, because the mean of its divisors is an integer number (31644).

2³⁸⁶⁴³⁰ is an apocalyptic number.

386430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

386430 is an abundant number, since it is smaller than the sum of its proper divisors (626178).

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

386430 is a wasteful number, since it uses less digits than its factorization.

386430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 386430 is about 621.6349411029. The cubic root of 386430 is about 72.8378209871.

The spelling of 386430 in words is "three hundred eighty-six thousand, four hundred thirty".