387420 has 48 divisors (see below), whose sum is σ = 1185408. Its totient is φ = 93760.

The previous prime is 387403. The next prime is 387433. The reversal of 387420 is 24783.

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 387420.

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, 367 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (24696).

2³⁸⁷⁴²⁰ is an apocalyptic number.

387420 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 387420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592704).

387420 is an abundant number, since it is smaller than the sum of its proper divisors (797988).

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

387420 is a wasteful number, since it uses less digits than its factorization.

387420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 387420 is about 622.4307190363. The cubic root of 387420 is about 72.8999693287.

The spelling of 387420 in words is "three hundred eighty-seven thousand, four hundred twenty".