466461776 has 60 divisors (see below), whose sum is σ = 1051909236. Its totient is φ = 199541760.

The previous prime is 466461773. The next prime is 466461791. The reversal of 466461776 is 677164664.

It can be written as a sum of positive squares in 2 ways, for example, as 385101376 + 81360400 = 19624^2 + 9020^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 466461776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466461773) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25826 + ... + 39998.

Almost surely, 2^466461776 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 466461776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525954618).

466461776 is an abundant number, since it is smaller than the sum of its proper divisors (585447460).

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

466461776 is a wasteful number, since it uses less digits than its factorization.

466461776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14220 (or 14203 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 47.

The square root of 466461776 is about 21597.7261766141. The cubic root of 466461776 is about 775.5420563011.

The spelling of 466461776 in words is "four hundred sixty-six million, four hundred sixty-one thousand, seven hundred seventy-six".