466889280 has 448 divisors, whose sum is σ = 1843430400. Its totient is φ = 98426880.

The previous prime is 466889279. The next prime is 466889333. The reversal of 466889280 is 82988664.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2608231 + ... + 2608409.

It is an arithmetic number, because the mean of its divisors is an integer number (4114800).

Almost surely, 2^466889280 is an apocalyptic number.

466889280 is a gapful number since it is divisible by the number (40) 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 466889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921715200).

466889280 is an abundant number, since it is smaller than the sum of its proper divisors (1376541120).

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

466889280 is a wasteful number, since it uses less digits than its factorization.

466889280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 466889280 is about 21607.6208778292. The cubic root of 466889280 is about 775.7789075031.

The spelling of 466889280 in words is "four hundred sixty-six million, eight hundred eighty-nine thousand, two hundred eighty".