386514432 has 120 divisors (see below), whose sum is σ = 1146161016. Its totient is φ = 125300736.

The previous prime is 386514409. The next prime is 386514437. The reversal of 386514432 is 234415683.

It is a super-2 number, since 2×386514432² = 298786812288565248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386514437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169363 + ... + 171629.

Almost surely, 2^386514432 is an apocalyptic number.

386514432 is a gapful number since it is divisible by the number (32) 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 386514432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573080508).

386514432 is an abundant number, since it is smaller than the sum of its proper divisors (759646584).

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

386514432 is a wasteful number, since it uses less digits than its factorization.

386514432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2309 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 386514432 is about 19659.9702949928. The cubic root of 386514432 is about 728.4312543641.

The spelling of 386514432 in words is "three hundred eighty-six million, five hundred fourteen thousand, four hundred thirty-two".