393862248 has 96 divisors (see below), whose sum is σ = 1209280800. Its totient is φ = 114804864.

The previous prime is 393862243. The next prime is 393862331. The reversal of 393862248 is 842268393.

It is a super-2 number, since 2×393862248² = 310254940799227008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (393862243) 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 23 ways as a sum of consecutive naturals, for example, 6711 + ... + 28857.

It is an arithmetic number, because the mean of its divisors is an integer number (12596675).

Almost surely, 2^393862248 is an apocalyptic number.

393862248 is a gapful number since it is divisible by the number (38) 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 393862248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604640400).

393862248 is an abundant number, since it is smaller than the sum of its proper divisors (815418552).

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

393862248 is a wasteful number, since it uses less digits than its factorization.

393862248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22191 (or 22184 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 393862248 is about 19845.9630151827. The cubic root of 393862248 is about 733.0182460885.

It can be divided in two parts, 393 and 862248, that added together give a triangular number (862641 = T₁₃₁₃).

The spelling of 393862248 in words is "three hundred ninety-three million, eight hundred sixty-two thousand, two hundred forty-eight".