460492679808 has 768 divisors, whose sum is σ = 1648483200000. Its totient is φ = 122976258048.

The previous prime is 460492679807. The next prime is 460492679809. The reversal of 460492679808 is 808976294064.

460492679808 is a `hidden beast` number, since 4 + 6 + 0 + 492 + 67 + 9 + 80 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (460492679807) and next prime (460492679809).

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

It is not an unprimeable number, because it can be changed into a prime (460492679807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 623129103 + ... + 623129841.

It is an arithmetic number, because the mean of its divisors is an integer number (2146462500).

Almost surely, 2^460492679808 is an apocalyptic number.

460492679808 is a gapful number since it is divisible by the number (48) 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 460492679808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824241600000).

460492679808 is an abundant number, since it is smaller than the sum of its proper divisors (1187990520192).

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

460492679808 is a wasteful number, since it uses less digits than its factorization.

460492679808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 853 counting only the distinct ones).

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

The spelling of 460492679808 in words is "four hundred sixty billion, four hundred ninety-two million, six hundred seventy-nine thousand, eight hundred eight".