466608384 has 432 divisors, whose sum is σ = 1682130240. Its totient is φ = 126074880.

The previous prime is 466608371. The next prime is 466608397. The reversal of 466608384 is 483806664.

It is an interprime number because it is at equal distance from previous prime (466608371) and next prime (466608397).

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24558327 + ... + 24558345.

It is an arithmetic number, because the mean of its divisors is an integer number (3893820).

Almost surely, 2^466608384 is an apocalyptic number.

466608384 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 466608384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841065120).

466608384 is an abundant number, since it is smaller than the sum of its proper divisors (1215521856).

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

466608384 is a wasteful number, since it uses less digits than its factorization.

466608384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 466608384 is about 21601.1199709645. The cubic root of 466608384 is about 775.6232982275.

It can be divided in two parts, 46 and 6608384, that added together give a triangular number (6608430 = T₃₆₃₅).

The spelling of 466608384 in words is "four hundred sixty-six million, six hundred eight thousand, three hundred eighty-four".