463021920 has 144 divisors (see below), whose sum is σ = 1638720720. Its totient is φ = 123462144.

The previous prime is 463021919. The next prime is 463021943. The reversal of 463021920 is 29120364.

463021920 is a `hidden beast` number, since 4 + 630 + 2 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32926 + ... + 44834.

It is an arithmetic number, because the mean of its divisors is an integer number (11380005).

Almost surely, 2^463021920 is an apocalyptic number.

463021920 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 463021920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819360360).

463021920 is an abundant number, since it is smaller than the sum of its proper divisors (1175698800).

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

463021920 is a wasteful number, since it uses less digits than its factorization.

463021920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11939 (or 11919 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 463021920 is about 21517.9441397174. The cubic root of 463021920 is about 773.6309760606.

The spelling of 463021920 in words is "four hundred sixty-three million, twenty-one thousand, nine hundred twenty".