463977648 has 120 divisors (see below), whose sum is σ = 1346632560. Its totient is φ = 149022720.

The previous prime is 463977601. The next prime is 463977659. The reversal of 463977648 is 846779364.

It is a happy number.

It is a super-2 number, since 2×463977648² = 430550515687223808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 463977594 and 463977603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525015 + ... + 525897.

It is an arithmetic number, because the mean of its divisors is an integer number (11221938).

Almost surely, 2^463977648 is an apocalyptic number.

463977648 is a gapful number since it is divisible by the number (48) 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 463977648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673316280).

463977648 is an abundant number, since it is smaller than the sum of its proper divisors (882654912).

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

463977648 is a wasteful number, since it uses less digits than its factorization.

463977648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1018 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 463977648 is about 21540.1403895146. The cubic root of 463977648 is about 774.1628966279.

It can be divided in two parts, 46397 and 7648, that added together give a palindrome (54045).

The spelling of 463977648 in words is "four hundred sixty-three million, nine hundred seventy-seven thousand, six hundred forty-eight".