388353420 has 288 divisors, whose sum is σ = 1514923200. Its totient is φ = 81865728.

The previous prime is 388353409. The next prime is 388353421. The reversal of 388353420 is 24353883.

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

It is not an unprimeable number, because it can be changed into a prime (388353421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 343416 + ... + 344544.

It is an arithmetic number, because the mean of its divisors is an integer number (5260150).

Almost surely, 2^388353420 is an apocalyptic number.

388353420 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 388353420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757461600).

388353420 is an abundant number, since it is smaller than the sum of its proper divisors (1126569780).

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

388353420 is a wasteful number, since it uses less digits than its factorization.

388353420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1159 counting only the distinct ones).

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

The square root of 388353420 is about 19706.6846526756. The cubic root of 388353420 is about 729.5846890182.

The spelling of 388353420 in words is "three hundred eighty-eight million, three hundred fifty-three thousand, four hundred twenty".