386921920 has 224 divisors, whose sum is σ = 1179795456. Its totient is φ = 117350400.

The previous prime is 386921917. The next prime is 386921923. The reversal of 386921920 is 29129683.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (386921917) and next prime (386921923).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386921923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1010049 + ... + 1010431.

It is an arithmetic number, because the mean of its divisors is an integer number (5266944).

Almost surely, 2^386921920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589897728).

386921920 is an abundant number, since it is smaller than the sum of its proper divisors (792873536).

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

386921920 is a wasteful number, since it uses less digits than its factorization.

386921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 386921920 is about 19670.3309580698. The cubic root of 386921920 is about 728.6871505827.

The spelling of 386921920 in words is "three hundred eighty-six million, nine hundred twenty-one thousand, nine hundred twenty".