403441632 has 144 divisors (see below), whose sum is σ = 1258612992. Its totient is φ = 121570560.

The previous prime is 403441631. The next prime is 403441651. The reversal of 403441632 is 236144304.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 403441596 and 403441605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403441631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1099113 + ... + 1099479.

It is an arithmetic number, because the mean of its divisors is an integer number (8740368).

Almost surely, 2^403441632 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 403441632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629306496).

403441632 is an abundant number, since it is smaller than the sum of its proper divisors (855171360).

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

403441632 is a wasteful number, since it uses less digits than its factorization.

403441632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 403441632 is about 20085.8565164645. The cubic root of 403441632 is about 738.9134479920.

Adding to 403441632 its reverse (236144304), we get a palindrome (639585936).

The spelling of 403441632 in words is "four hundred three million, four hundred forty-one thousand, six hundred thirty-two".