415050680 has 64 divisors (see below), whose sum is σ = 1025671680. Its totient is φ = 149904000.

The previous prime is 415050641. The next prime is 415050703. The reversal of 415050680 is 86050514.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63317 + ... + 69563.

It is an arithmetic number, because the mean of its divisors is an integer number (16026120).

Almost surely, 2^415050680 is an apocalyptic number.

415050680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415050680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512835840).

415050680 is an abundant number, since it is smaller than the sum of its proper divisors (610621000).

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

415050680 is a wasteful number, since it uses less digits than its factorization.

415050680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6420 (or 6416 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 415050680 is about 20372.7926411673. The cubic root of 415050680 is about 745.9339547220.

The spelling of 415050680 in words is "four hundred fifteen million, fifty thousand, six hundred eighty".