1226400400 has 135 divisors (see below), whose sum is σ = 3160624251. Its totient is φ = 457221120.

The previous prime is 1226400397. The next prime is 1226400437. The reversal of 1226400400 is 40046221.

The square root of 1226400400 is 35020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 28686736 + 1197713664 = 5356^2 + 34608^2 .

It is a super-2 number, since 2×1226400400² = 3008115882240320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11906749 + ... + 11906851.

Almost surely, 2^1226400400 is an apocalyptic number.

1226400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1226400400 is the 35020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226400400

1226400400 is an abundant number, since it is smaller than the sum of its proper divisors (1934223851).

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

1226400400 is a wasteful number, since it uses less digits than its factorization.

1226400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The cubic root of 1226400400 is about 1070.3950560328.

Adding to 1226400400 its reverse (40046221), we get a palindrome (1266446621).

The spelling of 1226400400 in words is "one billion, two hundred twenty-six million, four hundred thousand, four hundred".