463873547520 has 288 divisors, whose sum is σ = 1666439187840. Its totient is φ = 123698866176.

The previous prime is 463873547477. The next prime is 463873547561. The reversal of 463873547520 is 25745378364.

It is a happy number.

463873547520 is a `hidden beast` number, since 4 + 6 + 3 + 8 + 73 + 5 + 47 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2716507 + ... + 2882213.

It is an arithmetic number, because the mean of its divisors is an integer number (5786247180).

Almost surely, 2^463873547520 is an apocalyptic number.

463873547520 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 463873547520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833219593920).

463873547520 is an abundant number, since it is smaller than the sum of its proper divisors (1202565640320).

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

463873547520 is an frugal number, since it uses more digits than its factorization.

463873547520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165749 (or 165717 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 463873547520 in words is "four hundred sixty-three billion, eight hundred seventy-three million, five hundred forty-seven thousand, five hundred twenty".