403205352 has 64 divisors (see below), whose sum is σ = 1102368960. Its totient is φ = 121881600.

The previous prime is 403205347. The next prime is 403205377. The reversal of 403205352 is 253502304.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120048 + ... + 123360.

It is an arithmetic number, because the mean of its divisors is an integer number (17224515).

Almost surely, 2^403205352 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 403205352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551184480).

403205352 is an abundant number, since it is smaller than the sum of its proper divisors (699163608).

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

403205352 is a wasteful number, since it uses less digits than its factorization.

403205352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 403205352 is about 20079.9739043655. The cubic root of 403205352 is about 738.7691689106.

Adding to 403205352 its reverse (253502304), we get a palindrome (656707656).

The spelling of 403205352 in words is "four hundred three million, two hundred five thousand, three hundred fifty-two".