460040064 has 96 divisors (see below), whose sum is σ = 1343305320. Its totient is φ = 139392000.

The previous prime is 460040047. The next prime is 460040083.

460040064 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41514 + ... + 51414.

Almost surely, 2^460040064 is an apocalyptic number.

460040064 is a gapful number since it is divisible by the number (44) 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 460040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671652660).

460040064 is an abundant number, since it is smaller than the sum of its proper divisors (883265256).

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

460040064 is a wasteful number, since it uses less digits than its factorization.

460040064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9940 (or 9917 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 460040064 is about 21448.5445660073. The cubic root of 460040064 is about 771.9666732819.

The spelling of 460040064 in words is "four hundred sixty million, forty thousand, sixty-four".