386580480 has 360 divisors, whose sum is σ = 1464291696. Its totient is φ = 86507520.

The previous prime is 386580473. The next prime is 386580487. The reversal of 386580480 is 84085683.

It is an interprime number because it is at equal distance from previous prime (386580473) and next prime (386580487).

It is not an unprimeable number, because it can be changed into a prime (386580487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29736954 + ... + 29736966.

Almost surely, 2^386580480 is an apocalyptic number.

386580480 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 386580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732145848).

386580480 is an abundant number, since it is smaller than the sum of its proper divisors (1077711216).

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

386580480 is a wasteful number, since it uses less digits than its factorization.

386580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 386580480 is about 19661.6499816267. The cubic root of 386580480 is about 728.4727437052.

The spelling of 386580480 in words is "three hundred eighty-six million, five hundred eighty thousand, four hundred eighty".