389193984 has 135 divisors (see below), whose sum is σ = 1169038717. Its totient is φ = 128784384.

The previous prime is 389193977. The next prime is 389193991. The reversal of 389193984 is 489391983.

The square root of 389193984 is 19728.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (389193977) and next prime (389193991).

It can be written as a sum of positive squares in only one way, i.e., 228614400 + 160579584 = 15120^2 + 12672^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 389193984.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2840764 + ... + 2840900.

Almost surely, 2^389193984 is an apocalyptic number.

389193984 is the 19728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389193984

389193984 is an abundant number, since it is smaller than the sum of its proper divisors (779844733).

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

389193984 is an frugal number, since it uses more digits than its factorization.

389193984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 142 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The cubic root of 389193984 is about 730.1106881635.

Multiplying 389193984 by its product of digits (1679616), we get a square (653696442630144 = 25567488²).

The spelling of 389193984 in words is "three hundred eighty-nine million, one hundred ninety-three thousand, nine hundred eighty-four".