384769440 has 240 divisors, whose sum is σ = 1481911200. Its totient is φ = 93242880.

The previous prime is 384769433. The next prime is 384769457. The reversal of 384769440 is 44967483.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 141211 + ... + 143909.

It is an arithmetic number, because the mean of its divisors is an integer number (6174630).

Almost surely, 2^384769440 is an apocalyptic number.

384769440 is a gapful number since it is divisible by the number (30) 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 384769440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740955600).

384769440 is an abundant number, since it is smaller than the sum of its proper divisors (1097141760).

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

384769440 is a wasteful number, since it uses less digits than its factorization.

384769440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 384769440 is about 19615.5407776589. The cubic root of 384769440 is about 727.3333872888. Note that the first 4 decimals are identical.

The spelling of 384769440 in words is "three hundred eighty-four million, seven hundred sixty-nine thousand, four hundred forty".