415284879360 has 896 divisors, whose sum is σ = 1521936138240. Its totient is φ = 95919538176.

The previous prime is 415284879349. The next prime is 415284879407. The reversal of 415284879360 is 63978482514.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 415284879360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3269959617 + ... + 3269959743.

It is an arithmetic number, because the mean of its divisors is an integer number (1698589440).

It is a 1-persistent number, because it is pandigital, but 2⋅415284879360 = 830569758720 is not.

Almost surely, 2^415284879360 is an apocalyptic number.

415284879360 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 415284879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760968069120).

415284879360 is an abundant number, since it is smaller than the sum of its proper divisors (1106651258880).

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

415284879360 is a wasteful number, since it uses less digits than its factorization.

415284879360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 415284879360 in words is "four hundred fifteen billion, two hundred eighty-four million, eight hundred seventy-nine thousand, three hundred sixty".