388435140 has 72 divisors (see below), whose sum is σ = 1182749568. Its totient is φ = 103187520.

The previous prime is 388435133. The next prime is 388435147. The reversal of 388435140 is 41534883.

388435140 is a `hidden beast` number, since 3 + 88 + 435 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (388435133) and next prime (388435147).

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

It is a junction number, because it is equal to n+sod(n) for n = 388435095 and 388435104.

It is not an unprimeable number, because it can be changed into a prime (388435147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44799 + ... + 52761.

Almost surely, 2^388435140 is an apocalyptic number.

388435140 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 388435140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591374784).

388435140 is an abundant number, since it is smaller than the sum of its proper divisors (794314428).

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

388435140 is a wasteful number, since it uses less digits than its factorization.

388435140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8249 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 388435140 is about 19708.7579517330. The cubic root of 388435140 is about 729.6358601733.

The spelling of 388435140 in words is "three hundred eighty-eight million, four hundred thirty-five thousand, one hundred forty".