463921920 has 432 divisors, whose sum is σ = 2005016832. Its totient is φ = 96215040.

The previous prime is 463921907. The next prime is 463921957. The reversal of 463921920 is 29129364.

463921920 is a `hidden beast` number, since 4 + 639 + 2 + 19 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 886779 + ... + 887301.

Almost surely, 2^463921920 is an apocalyptic number.

463921920 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 463921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002508416).

463921920 is an abundant number, since it is smaller than the sum of its proper divisors (1541094912).

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

463921920 is a wasteful number, since it uses less digits than its factorization.

463921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 463921920 is about 21538.8467657858. The cubic root of 463921920 is about 774.1319006826.

The spelling of 463921920 in words is "four hundred sixty-three million, nine hundred twenty-one thousand, nine hundred twenty".