405585009648 has 640 divisors, whose sum is σ = 1566139760640. Its totient is φ = 97422704640.

The previous prime is 405585009601. The next prime is 405585009667. The reversal of 405585009648 is 846900585504.

405585009648 is a `hidden beast` number, since 4 + 0 + 5 + 5 + 8 + 500 + 96 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 405585009594 and 405585009603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20707636 + ... + 20727212.

It is an arithmetic number, because the mean of its divisors is an integer number (2447093376).

Almost surely, 2^405585009648 is an apocalyptic number.

405585009648 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 405585009648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783069880320).

405585009648 is an abundant number, since it is smaller than the sum of its proper divisors (1160554750992).

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

405585009648 is a wasteful number, since it uses less digits than its factorization.

405585009648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19662 (or 19650 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 405585009648 in words is "four hundred five billion, five hundred eighty-five million, nine thousand, six hundred forty-eight".