403040352 has 288 divisors, whose sum is σ = 1334473056. Its totient is φ = 105431040.

The previous prime is 403040329. The next prime is 403040353. The reversal of 403040352 is 253040304.

It is a happy number.

It is a super-3 number, since 3×403040352³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403040353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2567058 + ... + 2567214.

It is an arithmetic number, because the mean of its divisors is an integer number (4633587).

Almost surely, 2^403040352 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 403040352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667236528).

403040352 is an abundant number, since it is smaller than the sum of its proper divisors (931432704).

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

403040352 is a wasteful number, since it uses less digits than its factorization.

403040352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 403040352 is about 20075.8649128749. The cubic root of 403040352 is about 738.6683819348.

Adding to 403040352 its reverse (253040304), we get a palindrome (656080656).

The spelling of 403040352 in words is "four hundred three million, forty thousand, three hundred fifty-two".