415431352 has 128 divisors (see below), whose sum is σ = 979776000. Its totient is φ = 161187840.

The previous prime is 415431323. The next prime is 415431389. The reversal of 415431352 is 253134514.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 415431352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3882483 + ... + 3882589.

It is an arithmetic number, because the mean of its divisors is an integer number (7654500).

Almost surely, 2^415431352 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 415431352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489888000).

415431352 is an abundant number, since it is smaller than the sum of its proper divisors (564344648).

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

415431352 is a wasteful number, since it uses less digits than its factorization.

415431352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 415431352 is about 20382.1331562719. The cubic root of 415431352 is about 746.1619344333.

Adding to 415431352 its reverse (253134514), we get a palindrome (668565866).

The spelling of 415431352 in words is "four hundred fifteen million, four hundred thirty-one thousand, three hundred fifty-two".