1250001792 has 384 divisors, whose sum is σ = 4277145600. Its totient is φ = 346705920.

The previous prime is 1250001737. The next prime is 1250001793. The reversal of 1250001792 is 2971000521.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1250001792² = 3125008960006422528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1250001793) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6544417 + ... + 6544607.

It is an arithmetic number, because the mean of its divisors is an integer number (11138400).

Almost surely, 2^1250001792 is an apocalyptic number.

1250001792 is a gapful number since it is divisible by the number (12) 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 1250001792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138572800).

1250001792 is an abundant number, since it is smaller than the sum of its proper divisors (3027143808).

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

1250001792 is a wasteful number, since it uses less digits than its factorization.

1250001792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1250001792 is about 35355.3644020253. The cubic root of 1250001792 is about 1077.2178597820.

The spelling of 1250001792 in words is "one billion, two hundred fifty million, one thousand, seven hundred ninety-two".