460718406779904 has 2475 divisors, whose sum is σ = 1745840359549507. Its totient is φ = 121508151238656.

The previous prime is 460718406779899. The next prime is 460718406779909. The reversal of 460718406779904 is 409977604817064.

The square root of 460718406779904 is 21464352.

It is a perfect power (a square), and thus also a powerful number.

460718406779904 is a `hidden beast` number, since 4 + 60 + 7 + 1 + 8 + 406 + 7 + 79 + 90 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (460718406779899) and next prime (460718406779909).

It can be written as a sum of positive squares in 2 ways, for example, as 228431545058304 + 232286861721600 = 15113952^2 + 15240960^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=3276.

It is a super-2 number, since 2×460718406779904² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (460718406779909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 35439877444602 + ... + 35439877444614.

Almost surely, 2^{460718406779904} is an apocalyptic number.

460718406779904 is the 21464352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460718406779904

460718406779904 is an abundant number, since it is smaller than the sum of its proper divisors (1285121952769603).

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

460718406779904 is an frugal number, since it uses more digits than its factorization.

460718406779904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 460718406779904 in words is "four hundred sixty trillion, seven hundred eighteen billion, four hundred six million, seven hundred seventy-nine thousand, nine hundred four".