405239328 has 192 divisors, whose sum is σ = 1288425600. Its totient is φ = 123171840.

The previous prime is 405239321. The next prime is 405239333. The reversal of 405239328 is 823932504.

405239328 is a `hidden beast` number, since 40 + 523 + 93 + 2 + 8 = 666.

It is a super-3 number, since 3×405239328³ (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 = 405239292 and 405239301.

It is not an unprimeable number, because it can be changed into a prime (405239321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1224123 + ... + 1224453.

It is an arithmetic number, because the mean of its divisors is an integer number (6710550).

Almost surely, 2^405239328 is an apocalyptic number.

405239328 is a gapful number since it is divisible by the number (48) 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 405239328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644212800).

405239328 is an abundant number, since it is smaller than the sum of its proper divisors (883186272).

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

405239328 is a wasteful number, since it uses less digits than its factorization.

405239328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 458 counting only the distinct ones).

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

The square root of 405239328 is about 20130.5570712785. The cubic root of 405239328 is about 740.0093302939.

The spelling of 405239328 in words is "four hundred five million, two hundred thirty-nine thousand, three hundred twenty-eight".