384096825 has 36 divisors (see below), whose sum is σ = 786243328. Its totient is φ = 175586400.

The previous prime is 384096763. The next prime is 384096857. The reversal of 384096825 is 528690483.

It is not a de Polignac number, because 384096825 - 2¹⁰ = 384095801 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120361 + ... + 123510.

Almost surely, 2^384096825 is an apocalyptic number.

384096825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

384096825 is an abundant number, since it is smaller than the sum of its proper divisors (402146503).

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

384096825 is a wasteful number, since it uses less digits than its factorization.

384096825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243894 (or 243886 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 384096825 is about 19598.3883265946. The cubic root of 384096825 is about 726.9093232147.

The spelling of 384096825 in words is "three hundred eighty-four million, ninety-six thousand, eight hundred twenty-five".