415084245408 has 288 divisors, whose sum is σ = 1465836503040. Its totient is φ = 108729008640.

The previous prime is 415084245379. The next prime is 415084245451. The reversal of 415084245408 is 804542480514.

415084245408 is a `hidden beast` number, since 4 + 1 + 5 + 0 + 84 + 24 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1012641 + ... + 1362207.

It is an arithmetic number, because the mean of its divisors is an integer number (5089710080).

Almost surely, 2^415084245408 is an apocalyptic number.

415084245408 is a gapful number since it is divisible by the number (48) 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 415084245408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732918251520).

415084245408 is an abundant number, since it is smaller than the sum of its proper divisors (1050752257632).

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

415084245408 is a wasteful number, since it uses less digits than its factorization.

415084245408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349640 (or 349629 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 415084245408 in words is "four hundred fifteen billion, eighty-four million, two hundred forty-five thousand, four hundred eight".