1005400000 has 168 divisors, whose sum is σ = 2726356752. Its totient is φ = 364800000.

The previous prime is 1005399961. The next prime is 1005400003. The reversal of 1005400000 is 45001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 1005400000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005400003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2199772 + ... + 2200228.

It is an arithmetic number, because the mean of its divisors is an integer number (16228314).

Almost surely, 2^1005400000 is an apocalyptic number.

1005400000 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 1005400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363178376).

1005400000 is an abundant number, since it is smaller than the sum of its proper divisors (1720956752).

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

1005400000 is an frugal number, since it uses more digits than its factorization.

1005400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 1005400000 is about 31708.0431436568. The cubic root of 1005400000 is about 1001.7967696851.

Adding to 1005400000 its reverse (45001), we get a palindrome (1005445001).

The spelling of 1005400000 in words is "one billion, five million, four hundred thousand".