405165930 has 128 divisors (see below), whose sum is σ = 1157442048. Its totient is φ = 89751552.

The previous prime is 405165919. The next prime is 405165949. The reversal of 405165930 is 39561504.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 405165891 and 405165900.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151162 + ... + 153818.

It is an arithmetic number, because the mean of its divisors is an integer number (9042516).

Almost surely, 2^405165930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405165930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578721024).

405165930 is an abundant number, since it is smaller than the sum of its proper divisors (752276118).

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

405165930 is a wasteful number, since it uses less digits than its factorization.

405165930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720.

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 405165930 is about 20128.7339393217. The cubic root of 405165930 is about 739.9646501253.

The spelling of 405165930 in words is "four hundred five million, one hundred sixty-five thousand, nine hundred thirty".