466006464 has 504 divisors, whose sum is σ = 1806854400. Its totient is φ = 113218560.

The previous prime is 466006439. The next prime is 466006487. The reversal of 466006464 is 464600664.

It is a happy number.

466006464 is a `hidden beast` number, since 4 + 6 + 6 + 0 + 0 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5898777 + ... + 5898855.

Almost surely, 2^466006464 is an apocalyptic number.

466006464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903427200).

466006464 is an abundant number, since it is smaller than the sum of its proper divisors (1340847936).

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

466006464 is a wasteful number, since it uses less digits than its factorization.

466006464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 466006464 is about 21587.1828639126. The cubic root of 466006464 is about 775.2896393641.

The spelling of 466006464 in words is "four hundred sixty-six million, six thousand, four hundred sixty-four".