415222824960 has 384 divisors, whose sum is σ = 1454757464160. Its totient is φ = 109546831872.

The previous prime is 415222824959. The next prime is 415222824997. The reversal of 415222824960 is 69428222514.

415222824960 is a `hidden beast` number, since 4 + 1 + 522 + 2 + 82 + 49 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143030869 + ... + 143033771.

Almost surely, 2^415222824960 is an apocalyptic number.

415222824960 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 415222824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727378732080).

415222824960 is an abundant number, since it is smaller than the sum of its proper divisors (1039534639200).

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

415222824960 is an equidigital number, since it uses as much as digits as its factorization.

415222824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3041 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 415222824960 in words is "four hundred fifteen billion, two hundred twenty-two million, eight hundred twenty-four thousand, nine hundred sixty".