363394464 has 96 divisors (see below), whose sum is σ = 985944960. Its totient is φ = 117107712.

The previous prime is 363394463. The next prime is 363394477. The reversal of 363394464 is 464493363.

363394464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (363394463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 933982 + ... + 934370.

It is an arithmetic number, because the mean of its divisors is an integer number (10270260).

Almost surely, 2^363394464 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 363394464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492972480).

363394464 is an abundant number, since it is smaller than the sum of its proper divisors (622550496).

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

363394464 is a wasteful number, since it uses less digits than its factorization.

363394464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 694 counting only the distinct ones).

The product of its digits is 559872, while the sum is 42.

The square root of 363394464 is about 19062.9080677634. The cubic root of 363394464 is about 713.6075490028.

The spelling of 363394464 in words is "three hundred sixty-three million, three hundred ninety-four thousand, four hundred sixty-four".