415353330 has 96 divisors (see below), whose sum is σ = 1240012800. Its totient is φ = 94490496.

The previous prime is 415353311. The next prime is 415353347. The reversal of 415353330 is 33353514.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 415353294 and 415353303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142831 + ... + 145709.

It is an arithmetic number, because the mean of its divisors is an integer number (12916800).

Almost surely, 2^415353330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415353330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620006400).

415353330 is an abundant number, since it is smaller than the sum of its proper divisors (824659470).

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

415353330 is a wasteful number, since it uses less digits than its factorization.

415353330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128 (or 3125 counting only the distinct ones).

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

The square root of 415353330 is about 20380.2190861629. The cubic root of 415353330 is about 746.1152193815.

The spelling of 415353330 in words is "four hundred fifteen million, three hundred fifty-three thousand, three hundred thirty".