386197920 has 144 divisors (see below), whose sum is σ = 1324126440. Its totient is φ = 102500352.

The previous prime is 386197873. The next prime is 386197957. The reversal of 386197920 is 29791683.

386197920 is a `hidden beast` number, since 3 + 8 + 619 + 7 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 289136016 + 97061904 = 17004^2 + 9852^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386862 + ... + 387858.

Almost surely, 2^386197920 is an apocalyptic number.

386197920 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 386197920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662063220).

386197920 is an abundant number, since it is smaller than the sum of its proper divisors (937928520).

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

386197920 is a wasteful number, since it uses less digits than its factorization.

386197920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 386197920 is about 19651.9189902666. The cubic root of 386197920 is about 728.2323655463.

The spelling of 386197920 in words is "three hundred eighty-six million, one hundred ninety-seven thousand, nine hundred twenty".