460677784320 has 1152 divisors, whose sum is σ = 1830210681600. Its totient is φ = 108999475200.

The previous prime is 460677784291. The next prime is 460677784339. The reversal of 460677784320 is 23487776064.

460677784320 is a `hidden beast` number, since 4 + 606 + 7 + 7 + 7 + 8 + 4 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1639422580 + ... + 1639422860.

It is an arithmetic number, because the mean of its divisors is an integer number (1588724550).

Almost surely, 2^460677784320 is an apocalyptic number.

460677784320 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 460677784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915105340800).

460677784320 is an abundant number, since it is smaller than the sum of its proper divisors (1369532897280).

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

460677784320 is a wasteful number, since it uses less digits than its factorization.

460677784320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

It can be divided in two parts, 46067 and 7784320, that added together give a palindrome (7830387).

The spelling of 460677784320 in words is "four hundred sixty billion, six hundred seventy-seven million, seven hundred eighty-four thousand, three hundred twenty".