463695920 has 40 divisors (see below), whose sum is σ = 1084149360. Its totient is φ = 184436480.

The previous prime is 463695901. The next prime is 463695943. The reversal of 463695920 is 29596364.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 1871 + ... + 30510.

It is an arithmetic number, because the mean of its divisors is an integer number (27103734).

Almost surely, 2^463695920 is an apocalyptic number.

463695920 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 463695920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542074680).

463695920 is an abundant number, since it is smaller than the sum of its proper divisors (620453440).

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

463695920 is a wasteful number, since it uses less digits than its factorization.

463695920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32573 (or 32567 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 44.

The square root of 463695920 is about 21533.5997919530. The cubic root of 463695920 is about 774.0061739031.

The spelling of 463695920 in words is "four hundred sixty-three million, six hundred ninety-five thousand, nine hundred twenty".