1012415460 has 288 divisors, whose sum is σ = 3484591488. Its totient is φ = 218695680.

The previous prime is 1012415447. The next prime is 1012415461. The reversal of 1012415460 is 645142101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1012415460.

It is not an unprimeable number, because it can be changed into a prime (1012415461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4459867 + ... + 4460093.

It is an arithmetic number, because the mean of its divisors is an integer number (12099276).

Almost surely, 2^1012415460 is an apocalyptic number.

1012415460 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 1012415460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742295744).

1012415460 is an abundant number, since it is smaller than the sum of its proper divisors (2472176028).

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

1012415460 is a wasteful number, since it uses less digits than its factorization.

1012415460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1012415460 is about 31818.4767077244. The cubic root of 1012415460 is about 1004.1214767594.

Adding to 1012415460 its reverse (645142101), we get a palindrome (1657557561).

The spelling of 1012415460 in words is "one billion, twelve million, four hundred fifteen thousand, four hundred sixty".