460996692036480 has 384 divisors, whose sum is σ = 1636172289273600. Its totient is φ = 119517088481280.

The previous prime is 460996692036451. The next prime is 460996692036511. The reversal of 460996692036480 is 84630296699064.

It is a happy number.

460996692036480 is a `hidden beast` number, since 4 + 6 + 0 + 9 + 96 + 6 + 9 + 20 + 36 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 460996692036399 and 460996692036408.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 273872625 + ... + 275550735.

It is an arithmetic number, because the mean of its divisors is an integer number (4260865336650).

Almost surely, 2^{460996692036480} is an apocalyptic number.

460996692036480 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 460996692036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818086144636800).

460996692036480 is an abundant number, since it is smaller than the sum of its proper divisors (1175175597237120).

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

460996692036480 is a wasteful number, since it uses less digits than its factorization.

460996692036480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679462 (or 1679447 counting only the distinct ones).

The product of its (nonzero) digits is 725594112, while the sum is 72.

The spelling of 460996692036480 in words is "four hundred sixty trillion, nine hundred ninety-six billion, six hundred ninety-two million, thirty-six thousand, four hundred eighty".