466505400408 has 64 divisors (see below), whose sum is σ = 1217985638400. Its totient is φ = 148616793600.

The previous prime is 466505400407. The next prime is 466505400433. The reversal of 466505400408 is 804004505664.

It is a self number, because there is not a number n which added to its sum of digits gives 466505400408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466505400407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311113 + ... + 1014791.

It is an arithmetic number, because the mean of its divisors is an integer number (19031025600).

Almost surely, 2^466505400408 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 466505400408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608992819200).

466505400408 is an abundant number, since it is smaller than the sum of its proper divisors (751480237992).

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

466505400408 is a wasteful number, since it uses less digits than its factorization.

466505400408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704912 (or 704908 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 466505400408 in words is "four hundred sixty-six billion, five hundred five million, four hundred thousand, four hundred eight".