1005251940 has 576 divisors, whose sum is σ = 4094737920. Its totient is φ = 193536000.

The previous prime is 1005251921. The next prime is 1005251959. The reversal of 1005251940 is 491525001.

1005251940 is a `hidden beast` number, since 100 + 5 + 2 + 519 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1005251921) and next prime (1005251959).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16479510 + ... + 16479570.

It is an arithmetic number, because the mean of its divisors is an integer number (7108920).

Almost surely, 2^1005251940 is an apocalyptic number.

1005251940 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 1005251940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047368960).

1005251940 is an abundant number, since it is smaller than the sum of its proper divisors (3089485980).

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

1005251940 is a wasteful number, since it uses less digits than its factorization.

1005251940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1005251940 is about 31705.7083188501. The cubic root of 1005251940 is about 1001.7475908139.

Adding to 1005251940 its reverse (491525001), we get a palindrome (1496776941).

The spelling of 1005251940 in words is "one billion, five million, two hundred fifty-one thousand, nine hundred forty".