415362808224 has 1152 divisors, whose sum is σ = 1579159411200. Its totient is φ = 105157398528.

The previous prime is 415362808219. The next prime is 415362808291. The reversal of 415362808224 is 422808263514.

415362808224 is a `hidden beast` number, since 4 + 15 + 3 + 628 + 0 + 8 + 2 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 415362808224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2400941002 + ... + 2400941174.

It is an arithmetic number, because the mean of its divisors is an integer number (1370798100).

Almost surely, 2^415362808224 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 415362808224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789579705600).

415362808224 is an abundant number, since it is smaller than the sum of its proper divisors (1163796602976).

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

415362808224 is a wasteful number, since it uses less digits than its factorization.

415362808224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 415362808224 in words is "four hundred fifteen billion, three hundred sixty-two million, eight hundred eight thousand, two hundred twenty-four".