388258240 has 112 divisors (see below), whose sum is σ = 987552000. Its totient is φ = 144883712.

The previous prime is 388258237. The next prime is 388258243. The reversal of 388258240 is 42852883.

It is an interprime number because it is at equal distance from previous prime (388258237) and next prime (388258243).

It is a super-3 number, since 3×388258240³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 388258193 and 388258202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388258243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810321 + ... + 810799.

Almost surely, 2^388258240 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 388258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493776000).

388258240 is an abundant number, since it is smaller than the sum of its proper divisors (599293760).

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

388258240 is a wasteful number, since it uses less digits than its factorization.

388258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 388258240 is about 19704.2695880867. The cubic root of 388258240 is about 729.5250804752.

The spelling of 388258240 in words is "three hundred eighty-eight million, two hundred fifty-eight thousand, two hundred forty".