466361064 has 320 divisors, whose sum is σ = 1536796800. Its totient is φ = 130927104.

The previous prime is 466361059. The next prime is 466361081. The reversal of 466361064 is 460163664.

466361064 is a `hidden beast` number, since 4 + 6 + 636 + 10 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5618767 + ... + 5618849.

It is an arithmetic number, because the mean of its divisors is an integer number (4802490).

Almost surely, 2^466361064 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 466361064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768398400).

466361064 is an abundant number, since it is smaller than the sum of its proper divisors (1070435736).

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

466361064 is a wasteful number, since it uses less digits than its factorization.

466361064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 466361064 is about 21595.3945090151. The cubic root of 466361064 is about 775.4862374984.

The spelling of 466361064 in words is "four hundred sixty-six million, three hundred sixty-one thousand, sixty-four".