393421984 has 48 divisors (see below), whose sum is σ = 787941000. Its totient is φ = 193342464.

The previous prime is 393421979. The next prime is 393422017. The reversal of 393421984 is 489124393.

It can be written as a sum of positive squares in 4 ways, for example, as 318979600 + 74442384 = 17860^2 + 8628^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 393421984.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 519334 + ... + 520090.

Almost surely, 2^393421984 is an apocalyptic number.

It is an amenable number.

393421984 is an abundant number, since it is smaller than the sum of its proper divisors (394519016).

393421984 is a wasteful number, since it uses less digits than its factorization.

393421984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1017 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The square root of 393421984 is about 19834.8678846117. The cubic root of 393421984 is about 732.7450186942.

The spelling of 393421984 in words is "three hundred ninety-three million, four hundred twenty-one thousand, nine hundred eighty-four".