465476472576 has 216 divisors, whose sum is σ = 1377423605376. Its totient is φ = 151126026240.

The previous prime is 465476472557. The next prime is 465476472581. The reversal of 465476472576 is 675274674564.

465476472576 is a `hidden beast` number, since 4 + 6 + 54 + 7 + 6 + 4 + 7 + 2 + 576 = 666.

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, 13560331 + ... + 13594613.

It is an arithmetic number, because the mean of its divisors is an integer number (6376961136).

Almost surely, 2^465476472576 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 465476472576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688711802688).

465476472576 is an abundant number, since it is smaller than the sum of its proper divisors (911947132800).

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

465476472576 is a wasteful number, since it uses less digits than its factorization.

465476472576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34459 (or 34442 counting only the distinct ones).

The product of its digits is 237081600, while the sum is 63.

The spelling of 465476472576 in words is "four hundred sixty-five billion, four hundred seventy-six million, four hundred seventy-two thousand, five hundred seventy-six".