405165056 has 44 divisors (see below), whose sum is σ = 845198112. Its totient is φ = 193763328.

The previous prime is 405165043. The next prime is 405165073. The reversal of 405165056 is 650561504.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14951 + ... + 32153.

It is an arithmetic number, because the mean of its divisors is an integer number (19209048).

Almost surely, 2^405165056 is an apocalyptic number.

405165056 is a gapful number since it is divisible by the number (46) 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 405165056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422599056).

405165056 is an abundant number, since it is smaller than the sum of its proper divisors (440033056).

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

405165056 is a wasteful number, since it uses less digits than its factorization.

405165056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17246 (or 17228 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 405165056 is about 20128.7122290523. The cubic root of 405165056 is about 739.9641180556.

The spelling of 405165056 in words is "four hundred five million, one hundred sixty-five thousand, fifty-six".