1005400860 has 24 divisors (see below), whose sum is σ = 2815122576. Its totient is φ = 268106880.

The previous prime is 1005400853. The next prime is 1005400867. The reversal of 1005400860 is 680045001.

It is an interprime number because it is at equal distance from previous prime (1005400853) and next prime (1005400867).

It is a self number, because there is not a number n which added to its sum of digits gives 1005400860.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005400867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8378281 + ... + 8378400.

It is an arithmetic number, because the mean of its divisors is an integer number (117296774).

Almost surely, 2^1005400860 is an apocalyptic number.

1005400860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005400860 is an abundant number, since it is smaller than the sum of its proper divisors (1809721716).

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

1005400860 is a wasteful number, since it uses less digits than its factorization.

1005400860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16756693 (or 16756691 counting only the distinct ones).

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

The square root of 1005400860 is about 31708.0567048818. The cubic root of 1005400860 is about 1001.7970553244.

Adding to 1005400860 its reverse (680045001), we get a palindrome (1685445861).

The spelling of 1005400860 in words is "one billion, five million, four hundred thousand, eight hundred sixty".