463928160 has 96 divisors (see below), whose sum is σ = 1467214560. Its totient is φ = 123219968.

The previous prime is 463928141. The next prime is 463928183. The reversal of 463928160 is 61829364.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 127324 + ... + 130916.

It is an arithmetic number, because the mean of its divisors is an integer number (15283485).

Almost surely, 2^463928160 is an apocalyptic number.

463928160 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 463928160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733607280).

463928160 is an abundant number, since it is smaller than the sum of its proper divisors (1003286400).

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

463928160 is a wasteful number, since it uses less digits than its factorization.

463928160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 463928160 is about 21538.9916198507. The cubic root of 463928160 is about 774.1353714976.

The spelling of 463928160 in words is "four hundred sixty-three million, nine hundred twenty-eight thousand, one hundred sixty".