405028936 has 64 divisors (see below), whose sum is σ = 853030080. Its totient is φ = 179055360.

The previous prime is 405028931. The next prime is 405028969. The reversal of 405028936 is 639820504.

It is a super-3 number, since 3×405028936³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 405028895 and 405028904.

It is not an unprimeable number, because it can be changed into a prime (405028931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257031 + ... + 258601.

It is an arithmetic number, because the mean of its divisors is an integer number (13328595).

Almost surely, 2^405028936 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 405028936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426515040).

405028936 is an abundant number, since it is smaller than the sum of its proper divisors (448001144).

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

405028936 is a wasteful number, since it uses less digits than its factorization.

405028936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 405028936 is about 20125.3307053574. The cubic root of 405028936 is about 739.8812422036.

The spelling of 405028936 in words is "four hundred five million, twenty-eight thousand, nine hundred thirty-six".