415827456 has 80 divisors (see below), whose sum is σ = 1208547648. Its totient is φ = 126003200.

The previous prime is 415827449. The next prime is 415827473. The reversal of 415827456 is 654728514.

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 7 ways as a sum of consecutive naturals, for example, 4591 + ... + 29201.

Almost surely, 2^415827456 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 415827456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604273824).

415827456 is an abundant number, since it is smaller than the sum of its proper divisors (792720192).

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

415827456 is a wasteful number, since it uses less digits than its factorization.

415827456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24643 (or 24627 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 415827456 is about 20391.8477828764. The cubic root of 415827456 is about 746.3990083721.

The spelling of 415827456 in words is "four hundred fifteen million, eight hundred twenty-seven thousand, four hundred fifty-six".