415828824576 has 480 divisors, whose sum is σ = 1286051437440. Its totient is φ = 119066787840.

The previous prime is 415828824569. The next prime is 415828824617. The reversal of 415828824576 is 675428828514.

It is a happy number.

It is a super-2 number, since 2×415828824576² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380446686 + ... + 380447778.

It is an arithmetic number, because the mean of its divisors is an integer number (2679273828).

Almost surely, 2^415828824576 is an apocalyptic number.

415828824576 is a gapful number since it is divisible by the number (46) 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 415828824576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643025718720).

415828824576 is an abundant number, since it is smaller than the sum of its proper divisors (870222612864).

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

415828824576 is a wasteful number, since it uses less digits than its factorization.

415828824576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1221 counting only the distinct ones).

The product of its digits is 34406400, while the sum is 60.

The spelling of 415828824576 in words is "four hundred fifteen billion, eight hundred twenty-eight million, eight hundred twenty-four thousand, five hundred seventy-six".