1225626400 has 36 divisors (see below), whose sum is σ = 2992062402. Its totient is φ = 490250240.

The previous prime is 1225626397. The next prime is 1225626403. The reversal of 1225626400 is 46265221.

It is an interprime number because it is at equal distance from previous prime (1225626397) and next prime (1225626403).

It can be written as a sum of positive squares in 3 ways, for example, as 787812624 + 437813776 = 28068^2 + 20924^2 .

It is a super-3 number, since 3×1225626400³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1225626403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 765217 + ... + 766816.

Almost surely, 2^1225626400 is an apocalyptic number.

1225626400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1225626400 is an abundant number, since it is smaller than the sum of its proper divisors (1766436002).

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

1225626400 is a wasteful number, since it uses less digits than its factorization.

1225626400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532053 (or 1532040 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1225626400 is about 35008.9474277648. The cubic root of 1225626400 is about 1070.1698277620.

The spelling of 1225626400 in words is "one billion, two hundred twenty-five million, six hundred twenty-six thousand, four hundred".