1020410460 has 192 divisors, whose sum is σ = 3297974400. Its totient is φ = 265006080.

The previous prime is 1020410459. The next prime is 1020410491. The reversal of 1020410460 is 640140201.

1020410460 is a `hidden beast` number, since 1 + 0 + 204 + 1 + 0 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1793056 + ... + 1793624.

It is an arithmetic number, because the mean of its divisors is an integer number (17176950).

Almost surely, 2^1020410460 is an apocalyptic number.

1020410460 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 1020410460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648987200).

1020410460 is an abundant number, since it is smaller than the sum of its proper divisors (2277563940).

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

1020410460 is an equidigital number, since it uses as much as digits as its factorization.

1020410460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1020410460 is about 31943.8641995611. The cubic root of 1020410460 is about 1006.7577170592.

Adding to 1020410460 its reverse (640140201), we get a palindrome (1660550661).

The spelling of 1020410460 in words is "one billion, twenty million, four hundred ten thousand, four hundred sixty".