386296920 has 96 divisors (see below), whose sum is σ = 1257955920. Its totient is φ = 102808320.

The previous prime is 386296919. The next prime is 386296949. The reversal of 386296920 is 29692683.

It is a super-3 number, since 3×386296920³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294907 + ... + 296213.

Almost surely, 2^386296920 is an apocalyptic number.

386296920 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 386296920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628977960).

386296920 is an abundant number, since it is smaller than the sum of its proper divisors (871659000).

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

386296920 is a wasteful number, since it uses less digits than its factorization.

386296920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 386296920 is about 19654.4376668477. The cubic root of 386296920 is about 728.2945865311.

The spelling of 386296920 in words is "three hundred eighty-six million, two hundred ninety-six thousand, nine hundred twenty".