393300468 has 96 divisors (see below), whose sum is σ = 1124161920. Its totient is φ = 117918720.

The previous prime is 393300409. The next prime is 393300469. The reversal of 393300468 is 864003393.

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 (393300469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113530 + ... + 116942.

It is an arithmetic number, because the mean of its divisors is an integer number (11710020).

Almost surely, 2^393300468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393300468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562080960).

393300468 is an abundant number, since it is smaller than the sum of its proper divisors (730861452).

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

393300468 is a wasteful number, since it uses less digits than its factorization.

393300468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 393300468 is about 19831.8044564785. The cubic root of 393300468 is about 732.6695700952.

The spelling of 393300468 in words is "three hundred ninety-three million, three hundred thousand, four hundred sixty-eight".