415335330 has 128 divisors (see below), whose sum is σ = 1201858560. Its totient is φ = 101652480.

The previous prime is 415335329. The next prime is 415335337. The reversal of 415335330 is 33533514.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 415335294 and 415335303.

It is not an unprimeable number, because it can be changed into a prime (415335337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187087 + ... + 189293.

It is an arithmetic number, because the mean of its divisors is an integer number (9389520).

Almost surely, 2^415335330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415335330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600929280).

415335330 is an abundant number, since it is smaller than the sum of its proper divisors (786523230).

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

415335330 is a wasteful number, since it uses less digits than its factorization.

415335330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 415335330 is about 20379.7774767047. Note that the first 3 decimals coincide. The cubic root of 415335330 is about 746.1044411942.

Adding to 415335330 its reverse (33533514), we get a palindrome (448868844).

The spelling of 415335330 in words is "four hundred fifteen million, three hundred thirty-five thousand, three hundred thirty".