393663385476 has 99 divisors (see below), whose sum is σ = 1034161607703. Its totient is φ = 131119485480.

The previous prime is 393663385463. The next prime is 393663385513. The reversal of 393663385476 is 674583366393.

It is a happy number.

The square root of 393663385476 is 627426.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×393663385476² (a number of 24 digits) contains 22 as substring.

Its product of digits (176359680) is a multiple of the sum of its prime divisors (1296).

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 304928391 + ... + 304929681.

Almost surely, 2^393663385476 is an apocalyptic number.

393663385476 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

393663385476 is the 627426-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393663385476

393663385476 is an abundant number, since it is smaller than the sum of its proper divisors (640498222227).

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

393663385476 is an frugal number, since it uses more digits than its factorization.

393663385476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 1296 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 63.

The spelling of 393663385476 in words is "three hundred ninety-three billion, six hundred sixty-three million, three hundred eighty-five thousand, four hundred seventy-six".