466955280 has 200 divisors, whose sum is σ = 1769511744. Its totient is φ = 113184000.

The previous prime is 466955233. The next prime is 466955287. The reversal of 466955280 is 82559664.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (466955287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68005 + ... + 74555.

Almost surely, 2^466955280 is an apocalyptic number.

466955280 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 466955280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884755872).

466955280 is an abundant number, since it is smaller than the sum of its proper divisors (1302556464).

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

466955280 is a wasteful number, since it uses less digits than its factorization.

466955280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6587 (or 6572 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 466955280 is about 21609.1480627997. The cubic root of 466955280 is about 775.8154607772.

The spelling of 466955280 in words is "four hundred sixty-six million, nine hundred fifty-five thousand, two hundred eighty".