405363168 has 72 divisors (see below), whose sum is σ = 1317436848. Its totient is φ = 115817472.

The previous prime is 405363143. The next prime is 405363169. The reversal of 405363168 is 861363504.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405363169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98521 + ... + 102552.

It is an arithmetic number, because the mean of its divisors is an integer number (18297734).

Almost surely, 2^405363168 is an apocalyptic number.

405363168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

405363168 is an abundant number, since it is smaller than the sum of its proper divisors (912073680).

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

405363168 is a wasteful number, since it uses less digits than its factorization.

405363168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201096 (or 201085 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 405363168 is about 20133.6327571554. The cubic root of 405363168 is about 740.0847042070.

The spelling of 405363168 in words is "four hundred five million, three hundred sixty-three thousand, one hundred sixty-eight".