386478624 has 96 divisors (see below), whose sum is σ = 1165086720. Its totient is φ = 109884672.

The previous prime is 386478619. The next prime is 386478671. The reversal of 386478624 is 426874683.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148567 + ... + 151145.

It is an arithmetic number, because the mean of its divisors is an integer number (12136320).

Almost surely, 2^386478624 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 386478624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582543360).

386478624 is an abundant number, since it is smaller than the sum of its proper divisors (778608096).

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

386478624 is a wasteful number, since it uses less digits than its factorization.

386478624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2814 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 386478624 is about 19659.0595909367. The cubic root of 386478624 is about 728.4087588937.

The spelling of 386478624 in words is "three hundred eighty-six million, four hundred seventy-eight thousand, six hundred twenty-four".