415473352704 has 120 divisors (see below), whose sum is σ = 1230995898720. Its totient is φ = 138490970112.

The previous prime is 415473352703. The next prime is 415473352733. The reversal of 415473352704 is 407253374514.

It is a happy number.

415473352704 is a `hidden beast` number, since 4 + 1 + 5 + 47 + 335 + 270 + 4 = 666.

It is a super-2 number, since 2×415473352704² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 415473352704.

It is not an unprimeable number, because it can be changed into a prime (415473352703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27234 + ... + 911969.

It is an arithmetic number, because the mean of its divisors is an integer number (10258299156).

Almost surely, 2^415473352704 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 415473352704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615497949360).

415473352704 is an abundant number, since it is smaller than the sum of its proper divisors (815522546016).

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

415473352704 is an frugal number, since it uses more digits than its factorization.

415473352704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939240 (or 939208 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 415473352704 in words is "four hundred fifteen billion, four hundred seventy-three million, three hundred fifty-two thousand, seven hundred four".