463497914880 has 3600 divisors, whose sum is σ = 2364765285960. Its totient is φ = 85837086720.

The previous prime is 463497914879. The next prime is 463497914921. The reversal of 463497914880 is 88419794364.

463497914880 is a `hidden beast` number, since 4 + 6 + 349 + 79 + 148 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 295187929344 + 168309985536 = 543312^2 + 410256^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 15982686706 + ... + 15982686734.

Almost surely, 2^463497914880 is an apocalyptic number.

463497914880 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 463497914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182382642980).

463497914880 is an abundant number, since it is smaller than the sum of its proper divisors (1901267371080).

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

463497914880 is a wasteful number, since it uses less digits than its factorization.

463497914880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 463497914880 in words is "four hundred sixty-three billion, four hundred ninety-seven million, nine hundred fourteen thousand, eight hundred eighty".