388426752 has 264 divisors, whose sum is σ = 1335233536. Its totient is φ = 110481408.

The previous prime is 388426751. The next prime is 388426763. The reversal of 388426752 is 257624883.

388426752 is a `hidden beast` number, since 388 + 4 + 267 + 5 + 2 = 666.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 388426698 and 388426707.

It is not an unprimeable number, because it can be changed into a prime (388426751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1741713 + ... + 1741935.

Almost surely, 2^388426752 is an apocalyptic number.

388426752 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 388426752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667616768).

388426752 is an abundant number, since it is smaller than the sum of its proper divisors (946806784).

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

388426752 is an equidigital number, since it uses as much as digits as its factorization.

388426752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 235 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 388426752 is about 19708.5451517863. The cubic root of 388426752 is about 729.6306081342.

The spelling of 388426752 in words is "three hundred eighty-eight million, four hundred twenty-six thousand, seven hundred fifty-two".