1226401792 has 216 divisors, whose sum is σ = 3166507890. Its totient is φ = 473088000.

The previous prime is 1226401747. The next prime is 1226401801. The reversal of 1226401792 is 2971046221.

It can be written as a sum of positive squares in only one way, i.e., 734626816 + 491774976 = 27104^2 + 22176^2 .

It is a super-2 number, since 2×1226401792² = 3008122710841622528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12142542 + ... + 12142642.

Almost surely, 2^1226401792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226401792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583253945).

1226401792 is an abundant number, since it is smaller than the sum of its proper divisors (1940106098).

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

1226401792 is a wasteful number, since it uses less digits than its factorization.

1226401792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 1226401792 is about 35020.0198743519. The cubic root of 1226401792 is about 1070.3954610092.

The spelling of 1226401792 in words is "one billion, two hundred twenty-six million, four hundred one thousand, seven hundred ninety-two".