405008352 has 144 divisors (see below), whose sum is σ = 1333463040. Its totient is φ = 114206976.

The previous prime is 405008321. The next prime is 405008371. The reversal of 405008352 is 253800504.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157993 + ... + 160535.

It is an arithmetic number, because the mean of its divisors is an integer number (9260160).

Almost surely, 2^405008352 is an apocalyptic number.

405008352 is a gapful number since it is divisible by the number (42) 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 405008352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666731520).

405008352 is an abundant number, since it is smaller than the sum of its proper divisors (928454688).

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

405008352 is a wasteful number, since it uses less digits than its factorization.

405008352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 405008352 is about 20124.8193035366. The cubic root of 405008352 is about 739.8687081415.

Adding to 405008352 its reverse (253800504), we get a palindrome (658808856).

The spelling of 405008352 in words is "four hundred five million, eight thousand, three hundred fifty-two".