415304352 has 72 divisors (see below), whose sum is σ = 1185728544. Its totient is φ = 137883264.

The previous prime is 415304341. The next prime is 415304359. The reversal of 415304352 is 253403514.

415304352 is a `hidden beast` number, since 4 + 1 + 5 + 304 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (415304359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73003 + ... + 78485.

It is an arithmetic number, because the mean of its divisors is an integer number (16468452).

Almost surely, 2^415304352 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 415304352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592864272).

415304352 is an abundant number, since it is smaller than the sum of its proper divisors (770424192).

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

415304352 is a wasteful number, since it uses less digits than its factorization.

415304352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5762 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 415304352 is about 20379.0174444206. The cubic root of 415304352 is about 746.0858912047.

Adding to 415304352 its reverse (253403514), we get a palindrome (668707866).

The spelling of 415304352 in words is "four hundred fifteen million, three hundred four thousand, three hundred fifty-two".