405232240 has 80 divisors (see below), whose sum is σ = 1079305920. Its totient is φ = 138608640.

The previous prime is 405232189. The next prime is 405232249. The reversal of 405232240 is 42232504.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405232249) 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 15 ways as a sum of consecutive naturals, for example, 430170 + ... + 431110.

It is an arithmetic number, because the mean of its divisors is an integer number (13491324).

Almost surely, 2^405232240 is an apocalyptic number.

405232240 is a gapful number since it is divisible by the number (40) 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 405232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539652960).

405232240 is an abundant number, since it is smaller than the sum of its proper divisors (674073680).

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

405232240 is a wasteful number, since it uses less digits than its factorization.

405232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 405232240 is about 20130.3810197423. The cubic root of 405232240 is about 740.0050157926.

Adding to 405232240 its reverse (42232504), we get a palindrome (447464744).

The spelling of 405232240 in words is "four hundred five million, two hundred thirty-two thousand, two hundred forty".