1005405500 has 96 divisors (see below), whose sum is σ = 2536567488. Its totient is φ = 344064000.

The previous prime is 1005405497. The next prime is 1005405559. The reversal of 1005405500 is 55045001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88124 + ... + 98876.

It is an arithmetic number, because the mean of its divisors is an integer number (26422578).

Almost surely, 2^1005405500 is an apocalyptic number.

1005405500 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 1005405500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268283744).

1005405500 is an abundant number, since it is smaller than the sum of its proper divisors (1531161988).

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

1005405500 is a wasteful number, since it uses less digits than its factorization.

1005405500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10800 (or 10788 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 1005405500 is about 31708.1298723214. The cubic root of 1005405500 is about 1001.7985964447.

The spelling of 1005405500 in words is "one billion, five million, four hundred five thousand, five hundred".