384440 has 32 divisors (see below), whose sum is σ = 989280. Its totient is φ = 131712.

The previous prime is 384437. The next prime is 384469. The reversal of 384440 is 44483.

It is a super-2 number, since 2×384440² = 295588227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407 + ... + 966.

It is an arithmetic number, because the mean of its divisors is an integer number (30915).

2³⁸⁴⁴⁴⁰ is an apocalyptic number.

It is an amenable number.

384440 is an abundant number, since it is smaller than the sum of its proper divisors (604840).

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

384440 is a wasteful number, since it uses less digits than its factorization.

384440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 384440 is about 620.0322572254. The cubic root of 384440 is about 72.7125746813.

The spelling of 384440 in words is "three hundred eighty-four thousand, four hundred forty".