384285825 has 144 divisors (see below), whose sum is σ = 880693632. Its totient is φ = 155520000.

The previous prime is 384285793. The next prime is 384285851. The reversal of 384285825 is 528582483.

It is not a de Polignac number, because 384285825 - 2⁵ = 384285793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 710055 + ... + 710595.

It is an arithmetic number, because the mean of its divisors is an integer number (6115928).

Almost surely, 2^384285825 is an apocalyptic number.

384285825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

384285825 is an abundant number, since it is smaller than the sum of its proper divisors (496407807).

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

384285825 is a wasteful number, since it uses less digits than its factorization.

384285825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 608 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 384285825 is about 19603.2095586412. The cubic root of 384285825 is about 727.0285321616.

It can be divided in two parts, 38428 and 5825, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 384285825 in words is "three hundred eighty-four million, two hundred eighty-five thousand, eight hundred twenty-five".