467440220416 has 243 divisors, whose sum is σ = 1072523320659. Its totient is φ = 203205390336.

The previous prime is 467440220411. The next prime is 467440220419. The reversal of 467440220416 is 614022044764.

The square root of 467440220416 is 683696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3733698816 + 463706521600 = 61104^2 + 680960^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (467440220411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2701966506 + ... + 2701966678.

Almost surely, 2^467440220416 is an apocalyptic number.

467440220416 is the 683696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467440220416

467440220416 is an abundant number, since it is smaller than the sum of its proper divisors (605083100243).

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

467440220416 is an equidigital number, since it uses as much as digits as its factorization.

467440220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 467440220416 in words is "four hundred sixty-seven billion, four hundred forty million, two hundred twenty thousand, four hundred sixteen".