466932480 has 288 divisors, whose sum is σ = 1766016000. Its totient is φ = 102875136.

The previous prime is 466932469. The next prime is 466932481. The reversal of 466932480 is 84239664.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (466932481) 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 31 ways as a sum of consecutive naturals, for example, 779221 + ... + 779819.

It is an arithmetic number, because the mean of its divisors is an integer number (6132000).

Almost surely, 2^466932480 is an apocalyptic number.

466932480 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 466932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883008000).

466932480 is an abundant number, since it is smaller than the sum of its proper divisors (1299083520).

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

466932480 is a wasteful number, since it uses less digits than its factorization.

466932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 466932480 is about 21608.6205020126. The cubic root of 466932480 is about 775.8028336719.

The spelling of 466932480 in words is "four hundred sixty-six million, nine hundred thirty-two thousand, four hundred eighty".