466384761360 has 800 divisors, whose sum is σ = 1938209518080. Its totient is φ = 101624979456.

The previous prime is 466384761341. The next prime is 466384761373. The reversal of 466384761360 is 63167483664.

466384761360 is a `hidden beast` number, since 4 + 6 + 6 + 38 + 476 + 136 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 466384761297 and 466384761306.

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 159 ways as a sum of consecutive naturals, for example, 426700974 + ... + 426702066.

Almost surely, 2^466384761360 is an apocalyptic number.

466384761360 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 466384761360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969104759040).

466384761360 is an abundant number, since it is smaller than the sum of its proper divisors (1471824756720).

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

466384761360 is a wasteful number, since it uses less digits than its factorization.

466384761360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 466384761360 in words is "four hundred sixty-six billion, three hundred eighty-four million, seven hundred sixty-one thousand, three hundred sixty".