405017928 has 192 divisors, whose sum is σ = 1386331200. Its totient is φ = 108864000.

The previous prime is 405017923. The next prime is 405017929. The reversal of 405017928 is 829710504.

It is a super-3 number, since 3×405017928³ (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 405017892 and 405017901.

It is not an unprimeable number, because it can be changed into a prime (405017923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178803 + ... + 181053.

It is an arithmetic number, because the mean of its divisors is an integer number (7220475).

Almost surely, 2^405017928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405017928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693165600).

405017928 is an abundant number, since it is smaller than the sum of its proper divisors (981313272).

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

405017928 is a wasteful number, since it uses less digits than its factorization.

405017928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 405017928 is about 20125.0572173100. The cubic root of 405017928 is about 739.8745392368.

The spelling of 405017928 in words is "four hundred five million, seventeen thousand, nine hundred twenty-eight".