393805152 has 360 divisors, whose sum is σ = 1339208640. Its totient is φ = 113218560.

The previous prime is 393805147. The next prime is 393805157. The reversal of 393805152 is 251508393.

It is an interprime number because it is at equal distance from previous prime (393805147) and next prime (393805157).

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 (393805157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12703377 + ... + 12703407.

It is an arithmetic number, because the mean of its divisors is an integer number (3720024).

Almost surely, 2^393805152 is an apocalyptic number.

393805152 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 393805152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669604320).

393805152 is an abundant number, since it is smaller than the sum of its proper divisors (945403488).

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

393805152 is a wasteful number, since it uses less digits than its factorization.

393805152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 393805152 is about 19844.5244840989. The cubic root of 393805152 is about 732.9828238628.

The spelling of 393805152 in words is "three hundred ninety-three million, eight hundred five thousand, one hundred fifty-two".