388614240 has 384 divisors, whose sum is σ = 1585059840. Its totient is φ = 87091200.

The previous prime is 388614223. The next prime is 388614257. The reversal of 388614240 is 42416883.

388614240 is a `hidden beast` number, since 38 + 8 + 614 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (388614223) and next prime (388614257).

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 = 388614195 and 388614204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2146950 + ... + 2147130.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2^388614240 is an apocalyptic number.

388614240 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 388614240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

388614240 is an abundant number, since it is smaller than the sum of its proper divisors (1196445600).

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

388614240 is a wasteful number, since it uses less digits than its factorization.

388614240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 388614240 is about 19713.3010934242. The cubic root of 388614240 is about 729.7479833138.

The spelling of 388614240 in words is "three hundred eighty-eight million, six hundred fourteen thousand, two hundred forty".