1206726400 has 216 divisors, whose sum is σ = 3323568528. Its totient is φ = 430080000.

The previous prime is 1206726397. The next prime is 1206726407. The reversal of 1206726400 is 46276021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206726407) 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, 4294260 + ... + 4294540.

Almost surely, 2^1206726400 is an apocalyptic number.

1206726400 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 1206726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661784264).

1206726400 is an abundant number, since it is smaller than the sum of its proper divisors (2116842128).

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

1206726400 is a wasteful number, since it uses less digits than its factorization.

1206726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 1206726400 is about 34737.9677010616. The cubic root of 1206726400 is about 1064.6403893612.

The spelling of 1206726400 in words is "one billion, two hundred six million, seven hundred twenty-six thousand, four hundred".