393940465464 has 384 divisors, whose sum is σ = 1253391148800. Its totient is φ = 102256680960.

The previous prime is 393940465427. The next prime is 393940465487. The reversal of 393940465464 is 464564049393.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 312898867 + ... + 312900125.

It is an arithmetic number, because the mean of its divisors is an integer number (3264039450).

Almost surely, 2^393940465464 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 393940465464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626695574400).

393940465464 is an abundant number, since it is smaller than the sum of its proper divisors (859450683336).

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

393940465464 is a wasteful number, since it uses less digits than its factorization.

393940465464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 57.

The spelling of 393940465464 in words is "three hundred ninety-three billion, nine hundred forty million, four hundred sixty-five thousand, four hundred sixty-four".