463799680 has 128 divisors (see below), whose sum is σ = 1161135360. Its totient is φ = 176947200.

The previous prime is 463799647. The next prime is 463799683. The reversal of 463799680 is 86997364.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×463799680² = 430220286336204800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463799683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1924360 + ... + 1924600.

It is an arithmetic number, because the mean of its divisors is an integer number (9071370).

Almost surely, 2^463799680 is an apocalyptic number.

463799680 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 463799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580567680).

463799680 is an abundant number, since it is smaller than the sum of its proper divisors (697335680).

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

463799680 is a wasteful number, since it uses less digits than its factorization.

463799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The square root of 463799680 is about 21536.0089153028. The cubic root of 463799680 is about 774.0639020302.

The spelling of 463799680 in words is "four hundred sixty-three million, seven hundred ninety-nine thousand, six hundred eighty".