463218497280 has 1728 divisors, whose sum is σ = 2118618754560. Its totient is φ = 95939665920.

The previous prime is 463218497279. The next prime is 463218497311. The reversal of 463218497280 is 82794812364.

463218497280 is a `hidden beast` number, since 4 + 63 + 2 + 18 + 497 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1508854887 + ... + 1508855193.

It is an arithmetic number, because the mean of its divisors is an integer number (1226052520).

Almost surely, 2^463218497280 is an apocalyptic number.

463218497280 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 463218497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059309377280).

463218497280 is an abundant number, since it is smaller than the sum of its proper divisors (1655400257280).

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

463218497280 is an equidigital number, since it uses as much as digits as its factorization.

463218497280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 463218497280 in words is "four hundred sixty-three billion, two hundred eighteen million, four hundred ninety-seven thousand, two hundred eighty".