460669926080 has 224 divisors, whose sum is σ = 1350797521920. Its totient is φ = 145720995840.

The previous prime is 460669926049. The next prime is 460669926089. The reversal of 460669926080 is 80629966064.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (460669926089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108877565 + ... + 108881795.

It is an arithmetic number, because the mean of its divisors is an integer number (6030346080).

Almost surely, 2^460669926080 is an apocalyptic number.

460669926080 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 460669926080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675398760960).

460669926080 is an abundant number, since it is smaller than the sum of its proper divisors (890127595840).

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

460669926080 is a wasteful number, since it uses less digits than its factorization.

460669926080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8007 (or 7997 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 56.

The spelling of 460669926080 in words is "four hundred sixty billion, six hundred sixty-nine million, nine hundred twenty-six thousand, eighty".