1460573712 has 90 divisors (see below), whose sum is σ = 4426267482. Its totient is φ = 449399808.

The previous prime is 1460573701. The next prime is 1460573713. The reversal of 1460573712 is 2173750641.

It is a happy number.

1460573712 is a `hidden beast` number, since 1 + 4 + 605 + 7 + 37 + 12 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 65999376 + 1394574336 = 8124^2 + 37344^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1460573713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5673 + ... + 54344.

Almost surely, 2^1460573712 is an apocalyptic number.

1460573712 is a gapful number since it is divisible by the number (12) 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 1460573712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213133741).

1460573712 is an abundant number, since it is smaller than the sum of its proper divisors (2965693770).

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

1460573712 is a wasteful number, since it uses less digits than its factorization.

1460573712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60057 (or 60035 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 1460573712 is about 38217.4529763562. The cubic root of 1460573712 is about 1134.5957695489.

It can be divided in two parts, 146057 and 3712, that added together give a square (149769 = 387²).

The spelling of 1460573712 in words is "one billion, four hundred sixty million, five hundred seventy-three thousand, seven hundred twelve".