415120056 has 128 divisors (see below), whose sum is σ = 1185408000. Its totient is φ = 120089088.

The previous prime is 415120051. The next prime is 415120073. The reversal of 415120056 is 650021514.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415120051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1416646 + ... + 1416938.

It is an arithmetic number, because the mean of its divisors is an integer number (9261000).

Almost surely, 2^415120056 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 415120056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592704000).

415120056 is an abundant number, since it is smaller than the sum of its proper divisors (770287944).

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

415120056 is a wasteful number, since it uses less digits than its factorization.

415120056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 415120056 is about 20374.4952330113. The cubic root of 415120056 is about 745.9755135271.

The spelling of 415120056 in words is "four hundred fifteen million, one hundred twenty thousand, fifty-six".