415205352 has 96 divisors (see below), whose sum is σ = 1175428800. Its totient is φ = 137303424.

The previous prime is 415205327. The next prime is 415205353. The reversal of 415205352 is 253502514.

It is a happy number.

415205352 is a `hidden beast` number, since 41 + 520 + 53 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (415205353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265549 + ... + 267107.

It is an arithmetic number, because the mean of its divisors is an integer number (12244050).

Almost surely, 2^415205352 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 415205352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587714400).

415205352 is an abundant number, since it is smaller than the sum of its proper divisors (760223448).

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

415205352 is a wasteful number, since it uses less digits than its factorization.

415205352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 415205352 is about 20376.5883307290. The cubic root of 415205352 is about 746.0266026590.

Adding to 415205352 its reverse (253502514), we get a palindrome (668707866).

The spelling of 415205352 in words is "four hundred fifteen million, two hundred five thousand, three hundred fifty-two".