393147216 has 320 divisors, whose sum is σ = 1439907840. Its totient is φ = 99740160.

The previous prime is 393147197. The next prime is 393147241. The reversal of 393147216 is 612741393.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1762881 + ... + 1763103.

It is an arithmetic number, because the mean of its divisors is an integer number (4499712).

Almost surely, 2^393147216 is an apocalyptic number.

393147216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

393147216 is the 11448-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393147216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719953920).

393147216 is an abundant number, since it is smaller than the sum of its proper divisors (1046760624).

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

393147216 is a wasteful number, since it uses less digits than its factorization.

393147216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 299 counting only the distinct ones).

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

The square root of 393147216 is about 19827.9402863737. The cubic root of 393147216 is about 732.5743946308.

The spelling of 393147216 in words is "three hundred ninety-three million, one hundred forty-seven thousand, two hundred sixteen".