405384849648 has 120 divisors (see below), whose sum is σ = 1151951913216. Its totient is φ = 133053148800.

The previous prime is 405384849601. The next prime is 405384849787. The reversal of 405384849648 is 846948483504.

405384849648 is a `hidden beast` number, since 4 + 0 + 538 + 4 + 8 + 4 + 96 + 4 + 8 = 666.

405384849648 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25761943 + ... + 25777673.

Almost surely, 2^405384849648 is an apocalyptic number.

405384849648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405384849648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575975956608).

405384849648 is an abundant number, since it is smaller than the sum of its proper divisors (746567063568).

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

405384849648 is a wasteful number, since it uses less digits than its factorization.

405384849648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18483 (or 18474 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 405384849648 in words is "four hundred five billion, three hundred eighty-four million, eight hundred forty-nine thousand, six hundred forty-eight".