285396384 has 216 divisors, whose sum is σ = 946300320. Its totient is φ = 75059712.

The previous prime is 285396383. The next prime is 285396401. The reversal of 285396384 is 483693582.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1244160) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285396383) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 794797 + ... + 795155.

It is an arithmetic number, because the mean of its divisors is an integer number (4381020).

Almost surely, 2^285396384 is an apocalyptic number.

285396384 is a gapful number since it is divisible by the number (24) 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 285396384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473150160).

285396384 is an abundant number, since it is smaller than the sum of its proper divisors (660903936).

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

285396384 is a wasteful number, since it uses less digits than its factorization.

285396384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 384 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 285396384 is about 16893.6788178301. The cubic root of 285396384 is about 658.3893877532.

The spelling of 285396384 in words is "two hundred eighty-five million, three hundred ninety-six thousand, three hundred eighty-four".