1012345460 has 96 divisors (see below), whose sum is σ = 2668861440. Its totient is φ = 314506368.

The previous prime is 1012345459. The next prime is 1012345463. The reversal of 1012345460 is 645432101.

It is a super-2 number, since 2×1012345460² = 2049686660765223200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012345463) 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, 52907 + ... + 69453.

It is an arithmetic number, because the mean of its divisors is an integer number (27800640).

Almost surely, 2^1012345460 is an apocalyptic number.

1012345460 is a gapful number since it is divisible by the number (10) 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 1012345460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334430720).

1012345460 is an abundant number, since it is smaller than the sum of its proper divisors (1656515980).

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

1012345460 is a wasteful number, since it uses less digits than its factorization.

1012345460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16605 (or 16603 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1012345460 is about 31817.3766989046. The cubic root of 1012345460 is about 1004.0983340457.

Adding to 1012345460 its reverse (645432101), we get a palindrome (1657777561).

The spelling of 1012345460 in words is "one billion, twelve million, three hundred forty-five thousand, four hundred sixty".