393367104 has 210 divisors, whose sum is σ = 1265472450. Its totient is φ = 120766464.

The previous prime is 393367103. The next prime is 393367159. The reversal of 393367104 is 401763393.

It can be written as a sum of positive squares in 3 ways, for example, as 1327104 + 392040000 = 1152^2 + 19800^2 .

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

It is not an unprimeable number, because it can be changed into a prime (393367103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 875872 + ... + 876320.

Almost surely, 2^393367104 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 393367104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632736225).

393367104 is an abundant number, since it is smaller than the sum of its proper divisors (872105346).

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

393367104 is a wasteful number, since it uses less digits than its factorization.

393367104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 393367104 is about 19833.4844139904. The cubic root of 393367104 is about 732.7109459358.

The spelling of 393367104 in words is "three hundred ninety-three million, three hundred sixty-seven thousand, one hundred four".