386480640 has 480 divisors, whose sum is σ = 1567399680. Its totient is φ = 80510976.

The previous prime is 386480623. The next prime is 386480687. The reversal of 386480640 is 46084683.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4892121 + ... + 4892199.

It is an arithmetic number, because the mean of its divisors is an integer number (3265416).

Almost surely, 2^386480640 is an apocalyptic number.

386480640 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 386480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783699840).

386480640 is an abundant number, since it is smaller than the sum of its proper divisors (1180919040).

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

386480640 is a wasteful number, since it uses less digits than its factorization.

386480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 386480640 is about 19659.1108649400. The cubic root of 386480640 is about 728.4100254317.

The spelling of 386480640 in words is "three hundred eighty-six million, four hundred eighty thousand, six hundred forty".