1140460900 has 36 divisors (see below), whose sum is σ = 2491442100. Its totient is φ = 453116800.

The previous prime is 1140460847. The next prime is 1140460901. The reversal of 1140460900 is 90640411.

It can be written as a sum of positive squares in 6 ways, for example, as 284664384 + 855796516 = 16872^2 + 29254^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1140460901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23371 + ... + 53170.

It is an arithmetic number, because the mean of its divisors is an integer number (69206725).

Almost surely, 2^1140460900 is an apocalyptic number.

1140460900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140460900 is an abundant number, since it is smaller than the sum of its proper divisors (1350981200).

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

1140460900 is a wasteful number, since it uses less digits than its factorization.

1140460900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76704 (or 76697 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1140460900 is about 33770.7106824834. The cubic root of 1140460900 is about 1044.7846904228.

The spelling of 1140460900 in words is "one billion, one hundred forty million, four hundred sixty thousand, nine hundred".