1226536400 has 120 divisors (see below), whose sum is σ = 3135435480. Its totient is φ = 459489280.

The previous prime is 1226536379. The next prime is 1226536439. The reversal of 1226536400 is 46356221.

It can be written as a sum of positive squares in 12 ways, for example, as 684764224 + 541772176 = 26168^2 + 23276^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2155316 + ... + 2155884.

It is an arithmetic number, because the mean of its divisors is an integer number (26128629).

Almost surely, 2^1226536400 is an apocalyptic number.

1226536400 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 1226536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567717740).

1226536400 is an abundant number, since it is smaller than the sum of its proper divisors (1908899080).

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

1226536400 is a wasteful number, since it uses less digits than its factorization.

1226536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 1226536400 is about 35021.9416937439. The cubic root of 1226536400 is about 1070.4346212371.

The spelling of 1226536400 in words is "one billion, two hundred twenty-six million, five hundred thirty-six thousand, four hundred".