1226942496 has 288 divisors, whose sum is σ = 4093912368. Its totient is φ = 345047040.

The previous prime is 1226942449. The next prime is 1226942557. The reversal of 1226942496 is 6942496221.

It can be written as a sum of positive squares in 8 ways, for example, as 698862096 + 528080400 = 26436^2 + 22980^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2354716 + ... + 2355236.

Almost surely, 2^1226942496 is an apocalyptic number.

1226942496 is a gapful number since it is divisible by the number (16) 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 1226942496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046956184).

1226942496 is an abundant number, since it is smaller than the sum of its proper divisors (2866969872).

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

1226942496 is a wasteful number, since it uses less digits than its factorization.

1226942496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 593 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 1226942496 is about 35027.7389507230. The cubic root of 1226942496 is about 1070.5527455345.

The spelling of 1226942496 in words is "one billion, two hundred twenty-six million, nine hundred forty-two thousand, four hundred ninety-six".