461563386480 has 320 divisors, whose sum is σ = 1923828295680. Its totient is φ = 99294253056.

The previous prime is 461563386467. The next prime is 461563386491. The reversal of 461563386480 is 84683365164.

461563386480 is a `hidden beast` number, since 4 + 6 + 1 + 56 + 33 + 86 + 480 = 666.

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 63 ways as a sum of consecutive naturals, for example, 640804 + ... + 1154883.

It is an arithmetic number, because the mean of its divisors is an integer number (6011963424).

Almost surely, 2^461563386480 is an apocalyptic number.

461563386480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461563386480 is an abundant number, since it is smaller than the sum of its proper divisors (1462264909200).

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

461563386480 is a wasteful number, since it uses less digits than its factorization.

461563386480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795733 (or 1795721 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 461563386480 in words is "four hundred sixty-one billion, five hundred sixty-three million, three hundred eighty-six thousand, four hundred eighty".