415077696 has 280 divisors, whose sum is σ = 1394094240. Its totient is φ = 120960000.

The previous prime is 415077671. The next prime is 415077701. The reversal of 415077696 is 696770514.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its 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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1653571 + ... + 1653821.

It is an arithmetic number, because the mean of its divisors is an integer number (4978908).

Almost surely, 2^415077696 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 415077696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697047120).

415077696 is an abundant number, since it is smaller than the sum of its proper divisors (979016544).

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

415077696 is a wasteful number, since it uses less digits than its factorization.

415077696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 415077696 is about 20373.4556715350. The cubic root of 415077696 is about 745.9501388616.

The spelling of 415077696 in words is "four hundred fifteen million, seventy-seven thousand, six hundred ninety-six".