393387120 has 240 divisors, whose sum is σ = 1528562880. Its totient is φ = 88805376.

The previous prime is 393387119. The next prime is 393387121. The reversal of 393387120 is 21783393.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (393387119) and next prime (393387121).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393387121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448122 + ... + 448998.

It is an arithmetic number, because the mean of its divisors is an integer number (6369012).

Almost surely, 2^393387120 is an apocalyptic number.

393387120 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 393387120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764281440).

393387120 is an abundant number, since it is smaller than the sum of its proper divisors (1135175760).

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

393387120 is a wasteful number, since it uses less digits than its factorization.

393387120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 393387120 is about 19833.9890087698. The cubic root of 393387120 is about 732.7233734227.

The spelling of 393387120 in words is "three hundred ninety-three million, three hundred eighty-seven thousand, one hundred twenty".