415785840468 has 48 divisors (see below), whose sum is σ = 995135796480. Its totient is φ = 135054059904.

The previous prime is 415785840433. The next prime is 415785840521. The reversal of 415785840468 is 864048587514.

It is a happy number.

It is a super-2 number, since 2×415785840468² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1480471 + ... + 1738782.

It is an arithmetic number, because the mean of its divisors is an integer number (20731995760).

Almost surely, 2^415785840468 is an apocalyptic number.

It is an amenable number.

415785840468 is an abundant number, since it is smaller than the sum of its proper divisors (579349956012).

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

415785840468 is a wasteful number, since it uses less digits than its factorization.

415785840468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3219536 (or 3219534 counting only the distinct ones).

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

The spelling of 415785840468 in words is "four hundred fifteen billion, seven hundred eighty-five million, eight hundred forty thousand, four hundred sixty-eight".