460986681600 has 1215 divisors, whose sum is σ = 1826326299259. Its totient is φ = 114717081600.

The previous prime is 460986681587. The next prime is 460986681607. The reversal of 460986681600 is 6186689064.

The square root of 460986681600 is 678960.

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

It can be written as a sum of positive squares in 4 ways, for example, as 194036726016 + 266949955584 = 440496^2 + 516672^2 .

It is a super-2 number, since 2×460986681600² (a number of 24 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (460986681607) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11243577580 + ... + 11243577620.

Almost surely, 2^460986681600 is an apocalyptic number.

460986681600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

460986681600 is the 678960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460986681600

460986681600 is an abundant number, since it is smaller than the sum of its proper divisors (1365339617659).

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

460986681600 is an equidigital number, since it uses as much as digits as its factorization.

460986681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 460986681600 in words is "four hundred sixty billion, nine hundred eighty-six million, six hundred eighty-one thousand, six hundred".