386809920 has 252 divisors, whose sum is σ = 1548248364. Its totient is φ = 88381440.

The previous prime is 386809919. The next prime is 386809937. The reversal of 386809920 is 29908683.

It can be written as a sum of positive squares in 2 ways, for example, as 126697536 + 260112384 = 11256^2 + 16128^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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 35 ways as a sum of consecutive naturals, for example, 139750 + ... + 142490.

Almost surely, 2^386809920 is an apocalyptic number.

386809920 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 386809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774124182).

386809920 is an abundant number, since it is smaller than the sum of its proper divisors (1161438444).

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

386809920 is a wasteful number, since it uses less digits than its factorization.

386809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 386809920 is about 19667.4838248313. The cubic root of 386809920 is about 728.6168342109.

The spelling of 386809920 in words is "three hundred eighty-six million, eight hundred nine thousand, nine hundred twenty".