386979120 has 400 divisors, whose sum is σ = 1507001760. Its totient is φ = 91238400.

The previous prime is 386979119. The next prime is 386979121. The reversal of 386979120 is 21979683.

It is an interprime number because it is at equal distance from previous prime (386979119) and next prime (386979121).

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

It is not an unprimeable number, because it can be changed into a prime (386979121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4348036 + ... + 4348124.

Almost surely, 2^386979120 is an apocalyptic number.

386979120 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 386979120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753500880).

386979120 is an abundant number, since it is smaller than the sum of its proper divisors (1120022640).

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

386979120 is a wasteful number, since it uses less digits than its factorization.

386979120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 171 counting only the distinct ones).

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

The square root of 386979120 is about 19671.7848707228. The cubic root of 386979120 is about 728.7230569238.

The spelling of 386979120 in words is "three hundred eighty-six million, nine hundred seventy-nine thousand, one hundred twenty".