415564830 has 160 divisors (see below), whose sum is σ = 1198701504. Its totient is φ = 102933504.

The previous prime is 415564829. The next prime is 415564843. The reversal of 415564830 is 38465514.

It is a happy number.

415564830 is a `hidden beast` number, since 4 + 1 + 5 + 5 + 648 + 3 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1418164 + ... + 1418456.

Almost surely, 2^415564830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415564830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599350752).

415564830 is an abundant number, since it is smaller than the sum of its proper divisors (783136674).

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

415564830 is a wasteful number, since it uses less digits than its factorization.

415564830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 415564830 is about 20385.4072806996. The cubic root of 415564830 is about 746.2418397633.

The spelling of 415564830 in words is "four hundred fifteen million, five hundred sixty-four thousand, eight hundred thirty".