405232352 has 72 divisors (see below), whose sum is σ = 936963720. Its totient is φ = 172005120.

The previous prime is 405232343. The next prime is 405232357. The reversal of 405232352 is 253232504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405232357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169727 + ... + 172097.

It is an arithmetic number, because the mean of its divisors is an integer number (13013385).

Almost surely, 2^405232352 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 405232352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468481860).

405232352 is an abundant number, since it is smaller than the sum of its proper divisors (531731368).

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

405232352 is a wasteful number, since it uses less digits than its factorization.

405232352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 405232352 is about 20130.3838016070. The cubic root of 405232352 is about 740.0050839680.

Adding to 405232352 its reverse (253232504), we get a palindrome (658464856).

It can be divided in two parts, 40523 and 2352, that added together give a cube (42875 = 35³).

The spelling of 405232352 in words is "four hundred five million, two hundred thirty-two thousand, three hundred fifty-two".