384440840 has 64 divisors (see below), whose sum is σ = 999734400. Its totient is φ = 130318848.

The previous prime is 384440809. The next prime is 384440869. The reversal of 384440840 is 48044483.

It is a super-5 number, since 5×384440840⁵ (a number of 44 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 384440840.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17207 + ... + 32633.

It is an arithmetic number, because the mean of its divisors is an integer number (15620850).

Almost surely, 2^384440840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384440840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499867200).

384440840 is an abundant number, since it is smaller than the sum of its proper divisors (615293560).

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

384440840 is a wasteful number, since it uses less digits than its factorization.

384440840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15534 (or 15530 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

The square root of 384440840 is about 19607.1629768307. The cubic root of 384440840 is about 727.1262764013.

The spelling of 384440840 in words is "three hundred eighty-four million, four hundred forty thousand, eight hundred forty".