463885444 has 45 divisors (see below), whose sum is σ = 903120085. Its totient is φ = 208487840.

The previous prime is 463885427. The next prime is 463885451. The reversal of 463885444 is 444588364.

It is a happy number.

The square root of 463885444 is 21538.

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

It can be written as a sum of positive squares in only one way, i.e., 89075844 + 374809600 = 9438^2 + 19360^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 463885394 and 463885403.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 5212152 + ... + 5212240.

Almost surely, 2^463885444 is an apocalyptic number.

463885444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

463885444 is the 21538-th square number.

It is an amenable number.

463885444 is a deficient number, since it is larger than the sum of its proper divisors (439234641).

463885444 is an frugal number, since it uses more digits than its factorization.

463885444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 102 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 46.

The cubic root of 463885444 is about 774.1116113666. Note that the first 3 decimals are identical.

The spelling of 463885444 in words is "four hundred sixty-three million, eight hundred eighty-five thousand, four hundred forty-four".