463885920 has 192 divisors, whose sum is σ = 1635863040. Its totient is φ = 122770944.

The previous prime is 463885883. The next prime is 463885937. The reversal of 463885920 is 29588364.

463885920 is a `hidden beast` number, since 4 + 638 + 8 + 5 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721119 + ... + 721761.

It is an arithmetic number, because the mean of its divisors is an integer number (8520120).

Almost surely, 2^463885920 is an apocalyptic number.

463885920 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 463885920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817931520).

463885920 is an abundant number, since it is smaller than the sum of its proper divisors (1171977120).

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

463885920 is a wasteful number, since it uses less digits than its factorization.

463885920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 463885920 is about 21538.0110502340. The cubic root of 463885920 is about 774.1118761425. Note that the first 3 decimals are identical.

The spelling of 463885920 in words is "four hundred sixty-three million, eight hundred eighty-five thousand, nine hundred twenty".