466126848 has 288 divisors, whose sum is σ = 1558720800. Its totient is φ = 133816320.

The previous prime is 466126847. The next prime is 466126849. The reversal of 466126848 is 848621664.

It is an interprime number because it is at equal distance from previous prime (466126847) and next prime (466126849).

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (466126847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24532983 + ... + 24533001.

It is an arithmetic number, because the mean of its divisors is an integer number (5412225).

Almost surely, 2^466126848 is an apocalyptic number.

466126848 is a gapful number since it is divisible by the number (48) 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 466126848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779360400).

466126848 is an abundant number, since it is smaller than the sum of its proper divisors (1092593952).

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

466126848 is a wasteful number, since it uses less digits than its factorization.

466126848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 35 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 466126848 is about 21589.9710050755. The cubic root of 466126848 is about 775.3563941121.

The spelling of 466126848 in words is "four hundred sixty-six million, one hundred twenty-six thousand, eight hundred forty-eight".