405920595564 has 288 divisors, whose sum is σ = 1259006112000. Its totient is φ = 111773813760.

The previous prime is 405920595557. The next prime is 405920595589. The reversal of 405920595564 is 465595029504.

405920595564 is a `hidden beast` number, since 4 + 0 + 5 + 9 + 20 + 59 + 5 + 564 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 405920595564.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16972887 + ... + 16996785.

It is an arithmetic number, because the mean of its divisors is an integer number (4371549000).

Almost surely, 2^405920595564 is an apocalyptic number.

405920595564 is a gapful number since it is divisible by the number (44) 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 405920595564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629503056000).

405920595564 is an abundant number, since it is smaller than the sum of its proper divisors (853085516436).

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

405920595564 is a wasteful number, since it uses less digits than its factorization.

405920595564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23998 (or 23961 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 405920595564 in words is "four hundred five billion, nine hundred twenty million, five hundred ninety-five thousand, five hundred sixty-four".